2153588256 has 384 divisors, whose sum is σ = 7032614400. Its totient is φ = 638668800.

The previous prime is 2153588249. The next prime is 2153588267. The reversal of 2153588256 is 6528853512.

2153588256 is a `hidden beast` number, since 2 + 15 + 3 + 588 + 2 + 56 = 666.

It is a super-2 number, since 2×2153588256² = 9275884752762243072, which contains 22 as substring.

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, 21322606 + ... + 21322706.

It is an arithmetic number, because the mean of its divisors is an integer number (18314100).

Almost surely, 2^2153588256 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 2153588256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3516307200).

2153588256 is an abundant number, since it is smaller than the sum of its proper divisors (4879026144).

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

2153588256 is a wasteful number, since it uses less digits than its factorization.

2153588256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 195 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The square root of 2153588256 is about 46406.7695061830. The cubic root of 2153588256 is about 1291.3805015690.

The spelling of 2153588256 in words is "two billion, one hundred fifty-three million, five hundred eighty-eight thousand, two hundred fifty-six".