2504332032 has 72 divisors (see below), whose sum is σ = 6734088816. Its totient is φ = 826146816.

The previous prime is 2504332027. The next prime is 2504332037. The reversal of 2504332032 is 2302334052.

It is an interprime number because it is at equal distance from previous prime (2504332027) and next prime (2504332037).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2504331993 and 2504332011.

It is not an unprimeable number, because it can be changed into a prime (2504332037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57688 + ... + 91304.

Almost surely, 2^2504332032 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 2504332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3367044408).

2504332032 is an abundant number, since it is smaller than the sum of its proper divisors (4229756784).

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

2504332032 is an equidigital number, since it uses as much as digits as its factorization.

2504332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33733 (or 33719 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 2504332032 is about 50043.3015697406. The cubic root of 2504332032 is about 1357.9922855302.

Adding to 2504332032 its reverse (2302334052), we get a palindrome (4806666084).

It can be divided in two parts, 25043 and 32032, that added together give a palindrome (57075).

The spelling of 2504332032 in words is "two billion, five hundred four million, three hundred thirty-two thousand, thirty-two".