More than 580,000 customers have complained to Ocwen about errors in the last two years, according to the consumer bureau. Some of the company’s “systemic and significant” mistakes cost its customers their homes, Richard Cordray, the bureau’s director, said in a news conference.

Ocwen, which collects payments from 1.4 million borrowers on mortgage debt of more than $200 billion, said it would review the state regulators’ orders. It intends to fight the consumer bureau’s lawsuit and called it “an unfortunate example of overreaching.”

“Ocwen strongly disputes the C.F.P.B.’s claim that Ocwen’s mortgage loan servicing practices have caused substantial consumer harm,” Ocwen said Thursday. “In fact, just the opposite is true. Ocwen believes its mortgage loan servicing practices have and continue to result in substantial benefits to consumers above and beyond other mortgage servicers.”

But some state regulators’ legal filings said the company was failing at core responsibilities — and might be unable to fix the problems.

Ocwen has made significant errors in handling its customers’ escrow accounts, according to a cease-and-desist order filed by Ray Grace, North Carolina’s commissioner of banks. Those accounts contain funds that customers give to their mortgage servicer to cover property tax and home insurance bills. The servicer is then supposed to make those payments on the customer’s behalf.

The North Carolina regulator said Ocwen often failed to make payments on time — an error that can burden homeowners with added fees or even, in extreme cases, put their homes at risk. When state regulators pressed Ocwen to reconcile all of the funds held in its escrow accounts, the company responded that doing so “would cost $1.5 billion and be well beyond Ocwen’s financial capacity to fund,” according to North Carolina’s order.

Mr. Grace said in a statement that the company’s negligence had gone on too long.

“Ocwen has consistently failed to correct deficient business practices that cause harm to borrowers,” he said. “We cannot allow this to continue.”