2533865256 has 192 divisors, whose sum is σ = 7695651600. Its totient is φ = 747823104.

The previous prime is 2533865221. The next prime is 2533865261. The reversal of 2533865256 is 6525683352.

2533865256 is a `hidden beast` number, since 2 + 5 + 338 + 65 + 256 = 666.

2533865256 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 226984356 + 2306880900 = 15066^2 + 48030^2 .

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, 7518720 + ... + 7519056.

Almost surely, 2^2533865256 is an apocalyptic number.

2533865256 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2533865256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3847825800).

2533865256 is an abundant number, since it is smaller than the sum of its proper divisors (5161786344).

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

2533865256 is a wasteful number, since it uses less digits than its factorization.

2533865256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 661 counting only the distinct ones).

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

The square root of 2533865256 is about 50337.5134070009. The cubic root of 2533865256 is about 1363.3096396682.

The spelling of 2533865256 in words is "two billion, five hundred thirty-three million, eight hundred sixty-five thousand, two hundred fifty-six".