2156016456 has 192 divisors, whose sum is σ = 6545448000. Its totient is φ = 635627520.

The previous prime is 2156016419. The next prime is 2156016461. The reversal of 2156016456 is 6546106512.

2156016456 is a `hidden beast` number, since 2 + 1 + 5 + 6 + 0 + 1 + 645 + 6 = 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 2156016456.

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, 5145415 + ... + 5145833.

It is an arithmetic number, because the mean of its divisors is an integer number (34090875).

Almost surely, 2^2156016456 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 2156016456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3272724000).

2156016456 is an abundant number, since it is smaller than the sum of its proper divisors (4389431544).

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

2156016456 is a wasteful number, since it uses less digits than its factorization.

2156016456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2156016456 is about 46432.9242671620. The cubic root of 2156016456 is about 1291.8656689536.

The spelling of 2156016456 in words is "two billion, one hundred fifty-six million, sixteen thousand, four hundred fifty-six".