2531137290 has 192 divisors, whose sum is σ = 7001358336. Its totient is φ = 584496000.

The previous prime is 2531137267. The next prime is 2531137331. The reversal of 2531137290 is 927311352.

2531137290 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 9339855 + ... + 9340125.

It is an arithmetic number, because the mean of its divisors is an integer number (36465408).

Almost surely, 2^2531137290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2531137290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3500679168).

2531137290 is an abundant number, since it is smaller than the sum of its proper divisors (4470221046).

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

2531137290 is a wasteful number, since it uses less digits than its factorization.

2531137290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 2531137290 is about 50310.4093602904. The cubic root of 2531137290 is about 1362.8202164066.

The spelling of 2531137290 in words is "two billion, five hundred thirty-one million, one hundred thirty-seven thousand, two hundred ninety".