BEVERLY HILLS, Calif. — David Geffen is a big fan of PBS’s “American Masters” series, including installments dedicated to Jerome Robbins and Leonard Bernstein. But the media mogul — involved in phenonenal successes across music, TV, film, and Broadway — told the producers, “I don’t think I fit into this category” when they approached him. They disagreed.

The famously press-shy Geffen met with TV reporters here to offer succinct answers about “Inventing David Geffen.” The two-hour documentary, which includes dozens of interviews with everyone from Tom Hanks to Rahm Emanuel to Calvin Klein, premieres on Channel 2, Tuesday at 8 p.m.