The speech was also carried on several cable networks, including MSNBC and CNN, as well as PBS and the Spanish-language channels Univision and Telemundo.
Digital viewing is difficult to measure because statistics are not compiled by a third-party service, like Nielsen, that is regarded as an industry standard. CNN said that it had 1.7 million video starts on its website and across its apps during Mr. Trump’s address, and that viewership peaked a little before 10 p.m. with 320,000 concurrent users.
During a luncheon with news anchors on Tuesday, Mr. Trump predicted that his address would have a bigger audience than the Grammys. He got that one right: The Grammys had 19.8 million viewers on Sunday, a drop of 24 percent from last year.
In the late-night numbers, Stephen Colbert, who returned to a live format on Tuesday, easily had the highest household rating with a 2.9 share, dwarfing the 2.3 for “Jimmy Kimmel Live!” and 1.9 for Jimmy Fallon’s “The Tonight Show,” according to Nielsen.
Mr. Kimmel, whose main guest was Stormy Daniels, the pornographic actress who reportedly got a settlement to keep a sexual encounter with Mr. Trump quiet, had the highest rating among the advertiser-coveted 18-to-49-year-old demographic in the 25 leading markets.