2551810364160 has 576 divisors, whose sum is σ = 9095155077120. Its totient is φ = 606990827520.

The previous prime is 2551810364149. The next prime is 2551810364161. The reversal of 2551810364160 is 614630181552.

It is a super-2 number, since 2×2551810364160² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2551810364161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83669874 + ... + 83700366.

Almost surely, 2^{2551810364160} is an apocalyptic number.

2551810364160 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 2551810364160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4547577538560).

2551810364160 is an abundant number, since it is smaller than the sum of its proper divisors (6543344712960).

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

2551810364160 is a wasteful number, since it uses less digits than its factorization.

2551810364160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30604 (or 30590 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 2551810364160 in words is "two trillion, five hundred fifty-one billion, eight hundred ten million, three hundred sixty-four thousand, one hundred sixty".