(CNN) -- Even as Florence leaves the Carolinas, the floodwaters and death toll keep rising.
The storm once known as Hurricane Florence has killed 20 people, trapped hundreds more and cut off an entire city. But forecasters say the worst flooding is yet to come.
"This is a monumental disaster for our state," North Carolina Gov. Roy Cooper said Monday. "This is an epic storm that is still continuing because the rivers are still rising."
Residential streets have turned into rivers. Parts of freeways -- dotted with rescue boats -- have morphed into free-flowing waterways.
And Florence, now a tropical depression, will probably dump another 2 to 5 inches of rain Monday on central and southeastern North Carolina, CNN meteorologist Michael Guy said.
But even when the rain lets up, don't be fooled. The big concern now is river water gushing downstream, further deluging flooded cities.
"Catastrophic and historic river flooding will continue for days across portions of the Carolinas," the National Weather Service said.
Now, there are fears that the death toll will keep climbing. Authorities reported two more deaths on Monday, both in North Carolina.
The body of an elderly man was found by his submerged car Monday morning, the Union County Sheriff's Office said.
And 1-year-old Kaiden Lee-Welch, who was swept away by rushing waters Sunday, was found dead Monday, also in Union County.
'There will be flooding like we've never seen before'
That was the message Monday from Wilmington Mayor Bill Saffo, whose city is so deeply submerged that no one could get in Sunday.
By Monday, North Carolina authorities were able to open one road into the city of 117,000. But it's not for residents to use to return.
"We do not want evacuees to go back. There's too much going on," Cooper said.
The state's Department of Transportation said it's not clear how long that road will stay open, so authorities are trying to rush in supplies.
"We are pushing supplies as hard as we possibly can with the plan that (the road) may not sustain us over the next week," agency Secretary James Trogdon said.
And supplies such as fuel are in critical need.
The Wilmington-based Cape Fear Public Utility Authority urged residents to fill bathtubs and containers with water in case it doesn't have enough fuel to keep its water treatment plants running.
Pender County, just north of Wilmington, is also running out of fuel, Commissioner Jackie Newton said.
Evacuee loses car trying to get a flood victim food
Wilmington evacuee James Ammons can't get a break.
He just moved to Wilmington a few weeks ago and already lost his car in the storm, he said.
"The reason why I lost my car is because there was a girl who hadn't had food, and I wanted to get her some food," Ammons said.
He tried to find safety at an emergency shelter, but it got flooded out. So he went to another emergency shelter -- but that, too, got deluged.
"I've been to three shelters so far," Ammons told CNN on Monday.
He said the stress is running high for evacuees who aren't sure how badly their homes are damaged. But he said perspective is important.
"You have to be grateful for what you have right now."
Houses turn into islands
The flooding is so bad that North Carolina's transportation department warned people not to travel in or through the state. Some interstates, including sections of I-95 and I-40, are closed.
Emergency workers have made at least 1,000 swift-water rescues in North Carolina by early Monday, the North Carolina Department of Public Safety said. But many more people need help.
And those trapped in floodwater could also be without power for days.
About 488,551 customers in North Carolina and 16,385 in South Carolina don't have electricity. But the number of actual people without power is far greater, since a single customer can represent an entire family.
River threatens to swallow Lumberton ... again
In Lumberton, North Carolina -- a city submerged by Hurricane Matthew in 2016 -- residents are bracing for disaster as the Lumber River seeps through a patched-up gap in the levee system.
The river is expected to crest around 25.7 feet. If it gets higher than 26 feet, "all bets are off," city public works Deputy Director Corey Walters said.
Already, the floodwater in Lumberton has engulfed Bill Kozak's home.
"I'm 5'9" and it got to the top of my chest in a lot of areas," Kozak said.
He said he's frustrated after dealing with two hurricane-induced floods in two years.
"It feels like there hasn't been much done to prevent this from happening," Kozak said.
Once he's done repairing flood damage from Florence, Kozak said, he and his family are moving out of Lumberton.
'Bring your pets with you!'
Some residents said they decided to stay because many emergency shelters don't accept pets. But those who left without their pets faced the wrath of passers-by and social media users.
Freelance journalist Marcus DiPaola tweeted that he helped rescue six dogs in Leland, North Carolina, after they were left locked in an outdoor cage.
"We got them out, but by the time we left, the water was so high that they would have drowned. BRING YOUR PETS WITH YOU!" he wrote.
Causes of death include drowning and fallen trees
Of the 20 deaths linked to Florence, 15 happened in North Carolina, and five were in South Carolina. They include:
-- A 3-month-old who died when a tree fell on a mobile home in Dallas, North Carolina.
-- A man who died when a his truck hit an overpass support beam on Interstate 20 in Kershaw County, South Carolina.
-- A man who drowned in an overturned vehicle on a flooded road in Georgetown County, South Carolina.
-- Three people who died in flash flooding or swift water on roads in Duplin County, North Carolina.
-- A mother and a child who were killed when a tree fell on their house in Wilmington, North Carolina.
-- A woman in South Carolina who died after striking a downed tree while she was driving.
-- A woman went into cardiac arrest in Hampstead, in North Carolina's Pender County. When emergency responders tried to reach her, their path was blocked by fallen trees.
-- An 81-year-old man who fell and struck his head while packing to evacuate in Wayne County, North Carolina.
Where Florence's remnants will go next
What's left of Florence is dragging itself north, dumping heavy rain Monday as it moves into the southern Appalachian Mountains.
On Monday morning, Tropical Depression Florence was centered about 125 miles west southwest of Roanoke, Virginia, the National Weather Service said. It was moving north at 13 mph, whipping up 30-mph winds.
Mountainous parts of southern Virginia are now at risk of flooding, mudslides and landslides due to Florence's heavy rains on Monday, said Guy, the meteorologist.
The storm is expected to move north through the Charlottesville, Virginia, area before heading toward the Ohio Valley, hitting West Virginia and western Pennsylvania.
By Tuesday, Guy said, "the remnants of Florence will be pushed towards the Northeast, where areas from northern Pennsylvania through central New York towards Boston could pick up some heavy rain."
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