2156807952 has 640 divisors, whose sum is σ = 7874496000. Its totient is φ = 557383680.

The previous prime is 2156807909. The next prime is 2156807977. The reversal of 2156807952 is 2597086512.

It is a junction number, because it is equal to n+sod(n) for n = 2156807898 and 2156807907.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52605052 + ... + 52605092.

It is an arithmetic number, because the mean of its divisors is an integer number (12303900).

Almost surely, 2^2156807952 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 2156807952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3937248000).

2156807952 is an abundant number, since it is smaller than the sum of its proper divisors (5717688048).

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

2156807952 is a wasteful number, since it uses less digits than its factorization.

2156807952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 2156807952 is about 46441.4464891007. The cubic root of 2156807952 is about 1292.0237353741.

The spelling of 2156807952 in words is "two billion, one hundred fifty-six million, eight hundred seven thousand, nine hundred fifty-two".