2531400352 has 96 divisors (see below), whose sum is σ = 5533632720. Its totient is φ = 1132462080.

The previous prime is 2531400331. The next prime is 2531400371. The reversal of 2531400352 is 2530041352.

It can be written as a sum of positive squares in 8 ways, for example, as 34999056 + 2496401296 = 5916^2 + 49964^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3291424 + ... + 3292192.

Almost surely, 2^2531400352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2531400352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766816360).

2531400352 is an abundant number, since it is smaller than the sum of its proper divisors (3002232368).

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

2531400352 is a wasteful number, since it uses less digits than its factorization.

2531400352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 2531400352 is about 50313.0236817467. The cubic root of 2531400352 is about 1362.8674275679.

The spelling of 2531400352 in words is "two billion, five hundred thirty-one million, four hundred thousand, three hundred fifty-two".