Real estate mogul and TV celebrity Donald Trump barged his way into the 2016 U.S. presidential election on Tuesday in a blitz of boasts, inflammatory comments and attacks on both fellow Republicans and President Barack Obama's administration.

Trump wallowed in political incorrectness as he insulted everyone from Mexican immigrants to Jeb Bush and U.S. ally Saudi Arabia in announcing his bid for the Republican nomination.

"I will be the greatest jobs president that God ever created," Trump predicted in a long, combative speech in the atrium of Trump Tower on Manhattan's Fifth Avenue.