So the 4 failures are because the 2600 interface went down. How many serial interfaces do the 2600s have? Is it always the same router, same interface?
Without more info it's have to say why, but here is a good link to start with:
http://www.cisco.com/univercd/cc/td/doc/cisintwk/itg_v1/tr1915.htm
If this doesn't help, we may have to look at bugs or something else.
Start with the link and let us know.
Thanks
Steve