According to the counter graphics on Apple’s 10 Billion App Countdown webpage and the App Store, the promotion is nearing its end. Launched on January 14, the promotion is offering a $10,000 iTunes Gift Card to the person who downloads the ten billionth app from the App Store, or submits a free entry form at the right time.
Currently, the counter sits at roughly 9,984,000, up from 9,975,000 earlier today. While estimates using the average number of downloads per minute during the promotion have indicated that the 10 billionth download should occur sometime tomorrow afternoon, the pace of downloads in past promotions has typically accelerated as the total approached the relevant amount, making it possible that the download could occur late tonight or early tomorrow morning.
For more information on Apple’s 10 billion App Countdown, see Apple’s official rules.