I can ping my network printer, but cannot print

I've got an iMac running OSX 10.9.5 connected to my home wireless network. I also have my Brother MFC 7820N connected via ethernet cable to the wireless router to serve as a network printer. From the Mac, I can ping the printer successfully, but I cannot send files to print. The files will sit in the iMac's print queue inactive for a long time. eventually, it will look like they are printing, but the Brother is not making a peep. The ping does seem to take incredibly long.

On the iMac, I can quickly get into the printer's config settings via a browser. From inside the config, I have not been able to print a test page (the file never even shows up in the printer queue).

I've also logged into my router to look for connected network devices, but I cannot find the Brother printer there; nor can I ping it from the router.

Here is the log from the ping inside Network Utility:

Ping has started…

PING 169.254.240.218 (169.254.240.218): 56 data bytes

64 bytes from 169.254.240.218: icmp_seq=0 ttl=255 time=18.910 ms

64 bytes from 169.254.240.218: icmp_seq=1 ttl=255 time=13.308 ms

64 bytes from 169.254.240.218: icmp_seq=2 ttl=255 time=6.939 ms

64 bytes from 169.254.240.218: icmp_seq=3 ttl=255 time=18.514 ms

64 bytes from 169.254.240.218: icmp_seq=4 ttl=255 time=16.706 ms

64 bytes from 169.254.240.218: icmp_seq=5 ttl=255 time=15.633 ms

64 bytes from 169.254.240.218: icmp_seq=6 ttl=255 time=9.074 ms

64 bytes from 169.254.240.218: icmp_seq=7 ttl=255 time=8.688 ms

64 bytes from 169.254.240.218: icmp_seq=8 ttl=255 time=181.311 ms

64 bytes from 169.254.240.218: icmp_seq=9 ttl=255 time=5.924 ms

--- 169.254.240.218 ping statistics ---

10 packets transmitted, 10 packets received, 0.0% packet loss

round-trip min/avg/max/stddev = 5.924/29.501/181.311/50.806 ms

I am pretty familiar with Macs, but am new to networking, and a complete noob at Terminal. Please type slowly and be gentle. Thanks.