2n2n in scientific computation and beyond

Certain decimal numbers have special characteristics unlike those of most others. These sometimes have enormous physical significance, or very interesting mathematical/scientific properties, or both at the same time. The present article attempts to explore the significance of the decimal number 2n2n, the logarithm to base 2, and the binary equivalence (representation) corresponding to 2n2n both in the physical/natural world and in the pure mathematical environment, specifically in the area of computer/computational science. Also, among the number systems in different bases, the status of the base 2n2n, specifically for n=1n=1, in the realm of computational/computer science is also stressed.