2256527360 has 112 divisors (see below), whose sum is σ = 5485028400. Its totient is φ = 891027456.

The previous prime is 2256527359. The next prime is 2256527363. The reversal of 2256527360 is 637256522.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256527363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3645131 + ... + 3645749.

Almost surely, 2^2256527360 is an apocalyptic number.

2256527360 is a gapful number since it is divisible by the number (20) 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 2256527360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2742514200).

2256527360 is an abundant number, since it is smaller than the sum of its proper divisors (3228501040).

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

2256527360 is an frugal number, since it uses more digits than its factorization.

2256527360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 38.

The square root of 2256527360 is about 47502.9194892272. The cubic root of 2256527360 is about 1311.6366235393.

The spelling of 2256527360 in words is "two billion, two hundred fifty-six million, five hundred twenty-seven thousand, three hundred sixty".