2115842256 has 320 divisors, whose sum is σ = 6993838080. Its totient is φ = 606528000.

The previous prime is 2115842237. The next prime is 2115842263. The reversal of 2115842256 is 6522485112.

2115842256 is a `hidden beast` number, since 2 + 1 + 1 + 584 + 22 + 56 = 666.

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 2115842256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7807401 + ... + 7807671.

It is an arithmetic number, because the mean of its divisors is an integer number (21855744).

Almost surely, 2^2115842256 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 2115842256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3496919040).

2115842256 is an abundant number, since it is smaller than the sum of its proper divisors (4877995824).

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

2115842256 is a wasteful number, since it uses less digits than its factorization.

2115842256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 371 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 2115842256 is about 45998.2853593479. The cubic root of 2115842256 is about 1283.7913015683.

The spelling of 2115842256 in words is "two billion, one hundred fifteen million, eight hundred forty-two thousand, two hundred fifty-six".