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In May, his wife revealed he had woken from a medically induced coma but remained "extremely weak".
In a post confirming his death, Kloots said: "God has another angel in heaven now. My darling husband passed away this morning. He was surrounded in love by his family, singing and praying as he gently left this earth."
Kloots remembered her husband as "a bright light" who was "was everyone's friend".
She paid tribute to his "extraordinary" doctor and thanked everyone for "the outpour of love, support and help we've received".
While Cordero was in hospital, Kloots regularly sent him videos of her and their one-year-old son, Elvis, and encouraged fans to take part in a daily sing-a-long.
A fundraising page to help pay for medical expenses raised more than $600,000 (£480,000).
Image copyrightGetty ImagesImage captionActress Viola Davis led the tributes to Cordero on social media
Oscar-winning actress Viola Davis led the tributes on Twitter writing: "My condolences to you Amanda who fought and loved so hard... so sorry for his little one. My heart is with you."
"My heart is broken," added actor Josh Gad. "I feel ill. Along with the entire Broadway community and the entire world, I mourn the loss of the incredible Nick Cordero."
Priscilla Presley tweeted: "I'm so shocked to see the news today that Nick has passed. My heart and soul goes out to Nick Cordero's beautiful wife and family. Rest In Peace, Nick."
"I can honesty tell you I have never met a kinder human being," said Scrubs star Zach Braff. "Don't believe that Covid only claims the elderly and infirm."
Cordero's TV credits included Law & Order: Special Victims Unit, and he had a role in the 2017 film Going in Style, which starred Morgan Freeman, Michael Caine and Alan Arkin.
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