Defense attorneys for notorious Boston gangster James J. “Whitey” Bulger have charged the government more than $2.7 million for their services, according to federal court documents.

The total cost of defending Bulger, including experts and other services, is more than $3 million, according to the documents filed today in US District Court.

The documents showed that the lawyers had billed the government for $2,730,844.51, while payments for experts had mounted to $249,666.06, and the cost of transcripts totaled $36,158.55.

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The total cost added up to $3,016,669.12, the federal court financial manager reported to US District Judge Denise J. Casper, who presided over Bulger’s case.

Bulger was represented by J.W. Carney Jr. and Hank Brennan. Carney has dropped out of the case, but Brennan is pursuing an appeal with attorney James Budreau — so the bills could go still higher.