People hoping to access the page for Chris Moyles' Radio 1 show were confronted with an internal error message because the page was experiencing abnormal traffic.
Those viewing the live video stream were promised that Cotton, 29, would strip to a swimsuit between 10.10am and 10.30am should Moyles's fundraising efforts reach £2 million.
Radio 1's Twitter feed read: 'The latest total is an amazing £2,406,648 and @fearnecotton is in the studio in her swimsuit for the next 10 minutes.'
As the station ended its Radio 1 More Moyles fundraiser, it added: 'From Chris, Dave, the team and everyone at @BBCR1, we thank you for joining and supporting us over an amazing 52 hrs.'
Earlier today, Moyles and Dave Vitty broke the world record for Radio DJ Endurance Marathon.