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Instantly famous baby!

After days of deliberation, Kate Hudson and fiance Matt Bellamy have named their baby boy! The little guy's name is Bingham "Bing" Hawn Bellamy.

"So happy! Just had a baby boy, Bingham 'Bing' Hawn Bellamy," the British Muse rocker, 33, tweeted on Wednesday. "Mum and baby are strong and healthy. Mum was a warrior, Bing popped out after 4.5 hours of intense pushing!" An insider tells Us Weekly that the couple chose the name on Wednesday. Bingham was born on Saturday night in L.A., and weighed in at 7 lbs. 12 oz. It's the first child for Bellamy, and the second the Hudson. The 32 year-old actress has as 7-year-old son, Ryder, with ex-husband Chris Robinson.

Although "Hawn" is an homage to Hudson's mother Goldie Hawn, no word yet on the inspiration behind "Bingham" -- not typically a first name -- for the little one. Indie rocker Ryan Bingham heads up indie band The Dead Horses; archaeologist/explorer Hiram Bingham discovered ancient city Machu Picchu in Peru in 1908; there is also a Bingham County in the state of Idaho, and a town called Bingham in Michigan.

Tell Us: What do you think of the baby name?