Unfortunately, you will not be able to save 2GBytes of data in your system memory. You may get up to about 1.4GBytes if you go through a lot of pain. Doing it the easy way, the maximum you will get is somewhere between 0.8 and 1.1 GBytes, depending on your version of LabVIEW. For details of why, see the tutorial
Managing Large Data Sets in LabVIEW. You need to stream to disk.
Fortunately, with a relatively modern computer, this is fairly easy. The weak link will be your disk drive. If you have problems keeping up, do a defrag and try again. Use NI-HWS for the file storage. It was designed for exactly this task. If you have LV8.0 or better, you can also use the file primitives, but I would still recommend HWS. It takes care of a lot of details for you. Older versions of LV make it challenging to save more than 2GBytes of LV, and you can't do it if you are not using Windows with an NTFS file system. A FAT32 file system limits file size to 2GBytes.
Let us know if you need more info.