The real trick is going to be in MX records on the DNS server so that the outside world can find your backup host. If your MX record only points to the primary, nobody will be able to find the secondary. For example:
Code:
example.com. IN MX 10 primary-server.example.com.
example.com. IN MX 20 secondary-server.example.com.
MX records use a weighted system the lower number after the MX is the preferred mail server and the higher number is the less preferred. If you do run a secondary server, be sure that you're running a spam filter since spammers tend to use the lest preferred servers on the believe that anti-spam resources are not as great.