A poster on the NikonCafe forum suggested that I look at my My Pictures directory and delete any TIFF images that were there. I had never put any images there, so I did not think that this would work. When I checked, however, a handful of Tiff images were in that directory. Turns out that they were sample images that were put there when I installed ScanSoft OmniPage, a business oriented scanning program that came with my office scanner.
After I deleted the images, NX2 loaded. It seems that, when NX2 is first installed and then launched, it automatically looks to the My Pictures directory for files. Sometimes, it cannot open the files that are there, so it crashes. In this case, the sample business documents were images of office document that NX2 apparently could not recognize, so the program crashed. Once I removed those files, the program ran.