IP default-gateway vs IP default-network vs default route
The ip default-gateway command differs from the other two commands. It should only be used when ip routing is disabled on the Cisco router.
For instance, if the router is a host in the IP world, you can use this command to define a default gateway for it: This example defines the router on IP address 10.10.0.254 as the default gateway:
ip default-gateway 10.10.0.254
Unlike the ip default-gateway command, you can use ip default-network when ip routing is enabled on the Cisco router. When you configure ip default-network the router considers routes to that network for installation as the gateway of last resort on the router.
For every network configured with ip default-network, if a router has a route to that network, that route is flagged as a candidate default route.
The ip default-network command is classful. This means that if the router has a route to the subnet indicated by this command, it installs the route to the major net.
ip default-network 22.214.171.124
but, for the command to take effect, a route to the specified network must exist in the routing table.
ip route 0.0.0.0 0.0.0.0
Creating a static route to network 0.0.0.0 0.0.0.0 is another way to set the gateway of last resort on a router. As with the ip default-network command, using the static route to 0.0.0.0 is not dependent on any routing protocols (because the next-hop is specified in the command itself). But still, ip routing must be enabled on the router.
router-3(config)#ip route 0.0.0.0 0.0.0.0 126.96.36.199