2531142432 has 576 divisors, whose sum is σ = 9503020800. Its totient is φ = 658409472.

The previous prime is 2531142431. The next prime is 2531142451. The reversal of 2531142432 is 2342411352.

It is a super-2 number, since 2×2531142432² = 12813364022141749248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2531142396 and 2531142405.

It is not an unprimeable number, because it can be changed into a prime (2531142431) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34673148 + ... + 34673220.

It is an arithmetic number, because the mean of its divisors is an integer number (16498300).

Almost surely, 2^2531142432 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 2531142432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4751510400).

2531142432 is an abundant number, since it is smaller than the sum of its proper divisors (6971878368).

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

2531142432 is an equidigital number, since it uses as much as digits as its factorization.

2531142432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 98 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 2531142432 is about 50310.4604630091. The cubic root of 2531142432 is about 1362.8211392615.

Adding to 2531142432 its reverse (2342411352), we get a palindrome (4873553784).

The spelling of 2531142432 in words is "two billion, five hundred thirty-one million, one hundred forty-two thousand, four hundred thirty-two".