Hi, GV -
the problem is I had to know which route you take exactly. Parts of the A2 are speed limited, others are not. It´s a mix of both ... At the area of Rheda-Wiedenbrück (i.e.) you may go with unlimited speed - but note, there are a lot of road works along this highway ... send me your route, where you start - we will find out, what time you need - estimated of course

The A2 is one of the most used freeways in Germany - especially in Northrine-Westfalia ... try to beware the rushhours, that is the hell ...
Regards and cya in Harz -
Verena