2505534256 has 160 divisors (see below), whose sum is σ = 5727490560. Its totient is φ = 1053093888.

The previous prime is 2505534247. The next prime is 2505534263. The reversal of 2505534256 is 6524355052.

2505534256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12718350 + ... + 12718546.

It is an arithmetic number, because the mean of its divisors is an integer number (35796816).

Almost surely, 2^2505534256 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 2505534256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2863745280).

2505534256 is an abundant number, since it is smaller than the sum of its proper divisors (3221956304).

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

2505534256 is a wasteful number, since it uses less digits than its factorization.

2505534256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 37.

The square root of 2505534256 is about 50055.3119658643. The cubic root of 2505534256 is about 1358.2095556734.

The spelling of 2505534256 in words is "two billion, five hundred five million, five hundred thirty-four thousand, two hundred fifty-six".