In my job search, I've been surprised by how often you submit a resume online, and then you don't even get a rejection email. It's a true "black hole" in that you never hear back, not even with a "no thanks". I think it's disrespectful of candidates to ask them to spend time filling out an application, and then leave them hanging because you're (presumably) too lazy to read it.
I sympathize deeply with this sentiment. However, let's switch modes. Please suggest your solution for the problem of receiving 1,874 resumes for a job posting and, 42 days later, finding your likely candidate on the 244th candidate you reviewed.
When you get a successful candidate automatically inform everyone else still in the running that the position has been filled.
What's the hard part?