Greeting Bob,
Quote from: BobRay at Mar 04, 2015, 10:05 PMthey're zip files with no extension.
This sounded familiar to me.
Using my own cPanel-managed hosting space, I just used the GUI file manager to create a zip. While it was running, I looked (via FTP) in the destination where the zip was to be dropped, and found a file named, "zi4oeFIE" (no extension). Once the zip was done being created, that file (or at least that file name) was gone and the zip was there.
If you're in a similar configuration, I'd offer a guess that the files you're seeing might be temporary files created during the zipping process that never were deleted. With their size so large, perhaps what happened is that something was amiss with the zip process, file system, etc. at the time a zip was being made, leading to temporary (corrupted?) file detritus being left behind.
One possible explanation.