2604332640 has 384 divisors, whose sum is σ = 10208056320. Its totient is φ = 543449088.

The previous prime is 2604332623. The next prime is 2604332657. The reversal of 2604332640 is 462334062.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2604332623) and next prime (2604332657).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2604332598 and 2604332607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4760847 + ... + 4761393.

It is an arithmetic number, because the mean of its divisors is an integer number (26583480).

Almost surely, 2^2604332640 is an apocalyptic number.

2604332640 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 2604332640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5104028160).

2604332640 is an abundant number, since it is smaller than the sum of its proper divisors (7603723680).

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

2604332640 is a wasteful number, since it uses less digits than its factorization.

2604332640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 2604332640 is about 51032.6624819830. The cubic root of 2604332640 is about 1375.8322481183.

The spelling of 2604332640 in words is "two billion, six hundred four million, three hundred thirty-two thousand, six hundred forty".