None of the ideas you gave worked, but thanks anyway. It resolved on its own, and if you encounter this issue, the solution is simply to wait — it gets fixed after 24 hours.
As already stated, 2000 http client threads. 2000 browser threads would be quite an intensive operation to say the least... You would need a very powerful vps with lots of RAM, but even then I'm not sure BAS would handle it without crashing.