2167628256 has 96 divisors (see below), whose sum is σ = 6381607680. Its totient is φ = 715759488.

The previous prime is 2167628227. The next prime is 2167628269. The reversal of 2167628256 is 6528267612.

2167628256 is a `hidden beast` number, since 2 + 16 + 7 + 628 + 2 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2167628256² = 9397224512419203072, which contains 22 as substring.

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, 80725 + ... + 104171.

It is an arithmetic number, because the mean of its divisors is an integer number (66475080).

Almost surely, 2^2167628256 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 2167628256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3190803840).

2167628256 is an abundant number, since it is smaller than the sum of its proper divisors (4213979424).

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

2167628256 is a wasteful number, since it uses less digits than its factorization.

2167628256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23573 (or 23559 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 2167628256 is about 46557.7947931386. The cubic root of 2167628256 is about 1294.1807464667.

The spelling of 2167628256 in words is "two billion, one hundred sixty-seven million, six hundred twenty-eight thousand, two hundred fifty-six".