2287256516160 has 896 divisors, whose sum is σ = 9332041605120. Its totient is φ = 460770508800.

The previous prime is 2287256516071. The next prime is 2287256516183. The reversal of 2287256516160 is 616156527822.

It is a super-2 number, since 2×2287256516160² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 850596096 + ... + 850598784.

Almost surely, 2^{2287256516160} is an apocalyptic number.

2287256516160 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 2287256516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4666020802560).

2287256516160 is an abundant number, since it is smaller than the sum of its proper divisors (7044785088960).

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

2287256516160 is a wasteful number, since it uses less digits than its factorization.

2287256516160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3075 (or 3065 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 2287256516160 in words is "two trillion, two hundred eighty-seven billion, two hundred fifty-six million, five hundred sixteen thousand, one hundred sixty".