Was Alexander the Great actually Great?

Alexander of Macedon was called Alexander the Great for his massive conquest.  I think he deserves the title "the Great," but I do not think that as soon as you hear his name that is what you should think.  He conquered more territory than almost anyone else in the history of the world.  This is surely means to be the called the great.  On the other hand, he led many soldiers to their deaths and was not loved by all of the people under his control.  In my opinion, a better title for him would be Alexander "the Impressive Conqueror," not Alexander "the Great."