2109536256 has 192 divisors, whose sum is σ = 6274195200. Its totient is φ = 626393088.

The previous prime is 2109536243. The next prime is 2109536279. The reversal of 2109536256 is 6526359012.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1983981 + ... + 1985043.

It is an arithmetic number, because the mean of its divisors is an integer number (32678100).

Almost surely, 2^2109536256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2109536256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3137097600).

2109536256 is an abundant number, since it is smaller than the sum of its proper divisors (4164658944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2109536256 is a wasteful number, since it uses less digits than its factorization.

2109536256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 2109536256 is about 45929.6881766032. The cubic root of 2109536256 is about 1282.5146399311.

The spelling of 2109536256 in words is "two billion, one hundred nine million, five hundred thirty-six thousand, two hundred fifty-six".