2120864256 has 480 divisors, whose sum is σ = 7613084160. Its totient is φ = 580608000.

The previous prime is 2120864243. The next prime is 2120864269. The reversal of 2120864256 is 6524680212.

It is a happy number.

2120864256 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 8 + 642 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2120864243) and next prime (2120864269).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2120864256.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20998606 + ... + 20998706.

It is an arithmetic number, because the mean of its divisors is an integer number (15860592).

Almost surely, 2^2120864256 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 2120864256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3806542080).

2120864256 is an abundant number, since it is smaller than the sum of its proper divisors (5492219904).

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

2120864256 is a wasteful number, since it uses less digits than its factorization.

2120864256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2120864256 is about 46052.8419969930. The cubic root of 2120864256 is about 1284.8062017032.

The spelling of 2120864256 in words is "two billion, one hundred twenty million, eight hundred sixty-four thousand, two hundred fifty-six".