Bank of America Corp. is expected to announce Monday that it has exceeded two million on-line retail banking customers, the first institution to make such a claim.

Though information about on-line customers is sketchy, Bank of America is widely believed to be in front of the competition in number of Internet accounts: Last June it had 1.3 million, Wells Fargo & Co. was second with 930,000, and Citigroup Inc. was third with 750,000, according to an American Banker analysis of company reports.

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