2504317640 has 96 divisors (see below), whose sum is σ = 6393703680. Its totient is φ = 881232000.

The previous prime is 2504317637. The next prime is 2504317643. The reversal of 2504317640 is 467134052.

It is an interprime number because it is at equal distance from previous prime (2504317637) and next prime (2504317643).

It is a junction number, because it is equal to n+sod(n) for n = 2504317597 and 2504317606.

It is not an unprimeable number, because it can be changed into a prime (2504317643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141695 + ... + 158385.

It is an arithmetic number, because the mean of its divisors is an integer number (66601080).

Almost surely, 2^2504317640 is an apocalyptic number.

2504317640 is a gapful number since it is divisible by the number (20) 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 2504317640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3196851840).

2504317640 is an abundant number, since it is smaller than the sum of its proper divisors (3889386040).

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

2504317640 is a wasteful number, since it uses less digits than its factorization.

2504317640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16755 (or 16740 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 2504317640 is about 50043.1577740654. The cubic root of 2504317640 is about 1357.9896841363.

The spelling of 2504317640 in words is "two billion, five hundred four million, three hundred seventeen thousand, six hundred forty".