2531657820 has 48 divisors (see below), whose sum is σ = 7239472128. Its totient is φ = 660744000.

The previous prime is 2531657753. The next prime is 2531657827. The reversal of 2531657820 is 287561352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2531657827) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 446056 + ... + 451695.

It is an arithmetic number, because the mean of its divisors is an integer number (150822336).

Almost surely, 2^2531657820 is an apocalyptic number.

2531657820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2531657820 is an abundant number, since it is smaller than the sum of its proper divisors (4707814308).

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

2531657820 is a wasteful number, since it uses less digits than its factorization.

2531657820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897810 (or 897808 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 2531657820 is about 50315.5822782565. The cubic root of 2531657820 is about 1362.9136316192.

The spelling of 2531657820 in words is "two billion, five hundred thirty-one million, six hundred fifty-seven thousand, eight hundred twenty".