When you start getting numbered copied of the DB, that is a sign that Access is trying to simultaneously close and preserve data. It is not an unerring sign of corruption, but the odds are quite high that it is responding to something so corrupt it cannot be saved. Therefore, Access makes a copy of what was there before saving and closing everything. Here is how that happens.
When you do a Compact & Repair, Access does exactly what we sometimes suggest needs to be done. It makes an empty database and then, one internal object at a time, copies that object. It does exactly the same thing as if you made a new, "virgin" database and then imported everything in the older database. This is why, immediately after a C&R, tables appear to be sorted in the order of their primary keys.
The problem reveals itself if one of the objects is corrupted such that it cannot be copied - or more specifically, completely copied - into the new database. This corruption, so far as we can tell, most often takes the form of internal pointers in an object that do not point to the object header of the next object or element in a sequence. I.e a broken link in a chain of linked objects; a broken linked list. This is not the only possible corruption, but it is the most likely. So normally a C&R makes the new DB, copies the elements, and deletes the old DB. But when an error occurs during the process, it RENAMES the old DB to preserve stuff. And THAT is where your numbered copies originate. The date on the oldest copy tells you when the corruption first occurred. The number of numbered copies tells you how often you have done a failing C&R.
I haven't seen one of these in a long time, but it used to be that if you did a C&R and it failed, you would find a new system-generated table that enumerated the objects for which failures occurred.