There are a number of engineers at NASA and Boeing working on the X-48 who would disagree with you on this one.
The main advantage of the blended wing body is to reduce the skin friction drag [0] of the aircraft relative to the typical fuselage and wings. You have less surface area in contact with the air relative to the amount of internal volume. There may be some increase in the profile drag (i.e. the cross section of the aircraft) but is made up for by the reduction in the skin friction drag.
> The fuel burn of a B2 is far higher pound for pound than a 737.
This isn't really a fair comparison. They are two aircraft optimized for entirely different things.