As far as I know (and I checked the documentation, too) there is no 240 limit on threads available on the hardware conference bridge counters in RTMT.
RTMT reflects what CUCM knows. When the hardware conference bridge registers with CUCM one of the pieces of information that the bridge provides is its capacity. It is possible that the bridge is reporting the wrong information.
I suggest pulling the trace file for the Cisco CallManager service that covers a registration of this conference resource and looking for the capacity as reported by the resource. You'll be looking for lines related to the Media Resource Manager (MRM). If you post the trace, I can help you parse it for this information.
Maren