Her profile has since been reinstated.
"Trust us, we *definitely* want you on the Hive," said Bumble's editorial director Clare O'Connor.
Stone, 61, was married to television producer Michael Greenburg for three years from 1984, and to Phil Bronstein, executive editor of the San Francisco Chronicle, from 1998 to 2003.
She lives in West Hollywood with her three adopted sons.
Her tweet created an uproar on social media.
One man replied: "Hey Sharon, if you're ever in Buffalo and kinda dig fat guys with mustaches my DMs are open. Also own a car so willing to drive (up to 25 miles) even if you're just close by."
Stone has spoken publicly in the past about dating.
In 2014 she said she was "available for dating". On the Late Late Show last year she told host James Corden and fellow guest Elton John what she was looking for in a man.
"I like them tall," she said.
She told Grazia magazine last year that she has high expectations for the men in her life.
"I was just not that girl who was told that a man would define me," she explained. "I was told that if I wanted to have a man in my life, it wouldn't be an arrangement, it would be an actual partnership.
"And those are hard to find."