2531540352 has 128 divisors (see below), whose sum is σ = 7572741120. Its totient is φ = 742348800.

The previous prime is 2531540309. The next prime is 2531540357. The reversal of 2531540352 is 2530451352.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2531540357) 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, 121278 + ... + 140610.

It is an arithmetic number, because the mean of its divisors is an integer number (59162040).

Almost surely, 2^2531540352 is an apocalyptic number.

2531540352 is a gapful number since it is divisible by the number (22) 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 2531540352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3786370560).

2531540352 is an abundant number, since it is smaller than the sum of its proper divisors (5041200768).

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

2531540352 is a wasteful number, since it uses less digits than its factorization.

2531540352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19392 (or 19380 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 2531540352 is about 50314.4149523772. The cubic root of 2531540352 is about 1362.8925517279.

The spelling of 2531540352 in words is "two billion, five hundred thirty-one million, five hundred forty thousand, three hundred fifty-two".