2256650732160 has 384 divisors, whose sum is σ = 8708255075520. Its totient is φ = 533723136000.

The previous prime is 2256650732131. The next prime is 2256650732197. The reversal of 2256650732160 is 612370566522.

2256650732160 is a `hidden beast` number, since 2 + 2 + 5 + 66 + 507 + 3 + 21 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2163415 + ... + 3032105.

Almost surely, 2^{2256650732160} is an apocalyptic number.

2256650732160 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 2256650732160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354127537760).

2256650732160 is an abundant number, since it is smaller than the sum of its proper divisors (6451604343360).

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

2256650732160 is a wasteful number, since it uses less digits than its factorization.

2256650732160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868768 (or 868753 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 2256650732160 in words is "two trillion, two hundred fifty-six billion, six hundred fifty million, seven hundred thirty-two thousand, one hundred sixty".