2533856256 has 264 divisors, whose sum is σ = 8047166400. Its totient is φ = 793608192.

The previous prime is 2533856243. The next prime is 2533856279. The reversal of 2533856256 is 6526583352.

2533856256 is a `hidden beast` number, since 2 + 5 + 3 + 38 + 562 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4229845 + ... + 4230443.

Almost surely, 2^2533856256 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 2533856256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4023583200).

2533856256 is an abundant number, since it is smaller than the sum of its proper divisors (5513310144).

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

2533856256 is an equidigital number, since it uses as much as digits as its factorization.

2533856256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 621 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 45.

The square root of 2533856256 is about 50337.4240103722. The cubic root of 2533856256 is about 1363.3080255596.

The spelling of 2533856256 in words is "two billion, five hundred thirty-three million, eight hundred fifty-six thousand, two hundred fifty-six".