2551075490880 has 672 divisors, whose sum is σ = 10751965084800. Its totient is φ = 567339945984.

The previous prime is 2551075490863. The next prime is 2551075490911. The reversal of 2551075490880 is 880945701552.

2551075490880 is a `hidden beast` number, since 2 + 5 + 5 + 1 + 0 + 75 + 490 + 8 + 80 = 666.

2551075490880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15582891 + ... + 15745749.

Almost surely, 2^{2551075490880} is an apocalyptic number.

2551075490880 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 2551075490880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5375982542400).

2551075490880 is an abundant number, since it is smaller than the sum of its proper divisors (8200889593920).

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

2551075490880 is a wasteful number, since it uses less digits than its factorization.

2551075490880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162936 (or 162913 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 54.

The spelling of 2551075490880 in words is "two trillion, five hundred fifty-one billion, seventy-five million, four hundred ninety thousand, eight hundred eighty".