If you want to make your bike more trail oriented by changing tires, I would say the biggest change riders are making is moving to a 27.5"x35mm rim and adding WTB Trailblazer 2.8" tires. However, the -057 would not accommodate a 2.8" tire very well, Patrick C had a good post about his trial with moving to a wider, high volume tire. If the frame could accommodate a 2.8" tire, that would be the way to go.
Otherwise, you can move to a 29"x2.4" tire, however, it's not going to make a huge difference over a Maxxis Ikon 2.2. Might be a bit noticeable but not much more than that. You could try a Continental X-King 2.4, that tire has worked well for me in the past. If you like Maxxis and want a more aggressive tire, the Maxxis Ardent 2.4" would be a pretty good choice. Another good choice would be a Schwalbe Nobby Nic 2.35". However, while Schwalbe tires are good, I find them on the more expensive side and they seem to wear down quicker than other brands of tires I've tried.