Any discussion of upgrading your processor should probably start with the manufacturer (or OEM) of your system (HP/Compaq?). See what they recommend (if anything). Your options will depend upon which chipset (CPU socket) you have as well as what processors the system BIOS will support. You can check the processors that are comparable to your processor on ark.intel.com, but if the BIOS currently only supports the T2330, then you'll have to get an updated BIOS from the OEM for a new processor to work. In addition, any assistance you require in the actual process of swapping out the CPU and thermal interface material would have to come from the OEM (system manufacturer).
Intel Customer Support
*Other names and brands may be claimed as the property of others.