2256537360 has 320 divisors, whose sum is σ = 9102274560. Its totient is φ = 448419840.

The previous prime is 2256537343. The next prime is 2256537373. The reversal of 2256537360 is 637356522.

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, 422386 + ... + 427694.

It is an arithmetic number, because the mean of its divisors is an integer number (28444608).

Almost surely, 2^2256537360 is an apocalyptic number.

2256537360 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 2256537360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4551137280).

2256537360 is an abundant number, since it is smaller than the sum of its proper divisors (6845737200).

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

2256537360 is a wasteful number, since it uses less digits than its factorization.

2256537360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5366 (or 5360 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 39.

The square root of 2256537360 is about 47503.0247457991. The cubic root of 2256537360 is about 1311.6385610809.

The spelling of 2256537360 in words is "two billion, two hundred fifty-six million, five hundred thirty-seven thousand, three hundred sixty".