If you tire to use the free for one year EC2 Instance t1.micro and need more oomph then:

Amazon EC2 recently launched an instance type that offers:
So if you have one of those problems that require lots of ram and lots of  i/o (disk and network). Then this is the box for you..
Total cost is ~ 3.5 USD/hour

See http://aws.typepad.com/aws/2013/01/ec2-for-in-memory-computing-the-high-memory-cluster-eight-extra-large.html
http://aws.amazon.com/free/

If you are into distributed programming, have a look at SWF
http://aws.amazon.com/swf