2531978998020 has 72 divisors (see below), whose sum is σ = 8132120791704. Its totient is φ = 635477081088.

The previous prime is 2531978998019. The next prime is 2531978998097. The reversal of 2531978998020 is 208998791352.

2531978998020 is a `hidden beast` number, since 2 + 531 + 9 + 7 + 8 + 9 + 98 + 0 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 587577439296 + 1944401558724 = 766536^2 + 1394418^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 413718999 + ... + 413725118.

It is an arithmetic number, because the mean of its divisors is an integer number (112946122107).

Almost surely, 2^{2531978998020} is an apocalyptic number.

2531978998020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2531978998020 is an abundant number, since it is smaller than the sum of its proper divisors (5600141793684).

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

2531978998020 is a wasteful number, since it uses less digits than its factorization.

2531978998020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827444149 (or 827444144 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 2531978998020 in words is "two trillion, five hundred thirty-one billion, nine hundred seventy-eight million, nine hundred ninety-eight thousand, twenty".