You will find that a T2000, even with good storage and stuffed with memory, is just inadequate to the task of of running Ops Center with Enterprise Controller and co-located Proxy Controller and local database. You can use OCDoctor to run benchmarks, you'll see that the best performance is on Solaris x86 like on an X3-2. I've got the EC and database on an M3000, that's OK though I could use more RAM. A T5140 is my Proxy Controller, it's acceptable though it takes awhile for jobs to run some of that is just the putting jobs on a queue on the EC for transmission to the PC then the PC gets and has to put it on queue to transmit to agent. All of these queue operations are disk i/o. Also remember that Ops Center itself is Java so it is bloated, it runs in Cacao it's not using a JIT compiler to make native code at load time.
With enough disk space you CAN bring up the EC/PC/database all on a T2000 and have it as a proof of concept to manage one other asset I suppose.
But you won't be happy.
Once you have adequate hardware in place, RTFM. Oracle Enterprise Manager Ops Center Documentation