Korea - ICN to Incheon

Is there a direct train to Dong Incheon? Last year, I landed at 4AM, when there are no trains, and took a 50,000 won cab ride. On the way back, I had to take two subway lines and then connect to the airport train. Is there an easier way to do this?

If you wait an hour, you can catch the limosine bus between $9 - $12. I believe they run between 5 AM to 2 AM.

I dont know if limo busses go to Incheon City, you might have to wait for the public bus