2604962304 has 360 divisors, whose sum is σ = 8914585680. Its totient is φ = 730017792.

The previous prime is 2604962303. The next prime is 2604962329. The reversal of 2604962304 is 4032694062.

2604962304 is a `hidden beast` number, since 26 + 0 + 4 + 9 + 623 + 0 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2604962303) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18740667 + ... + 18740805.

It is an arithmetic number, because the mean of its divisors is an integer number (24762738).

Almost surely, 2^2604962304 is an apocalyptic number.

2604962304 is a gapful number since it is divisible by the number (24) 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 2604962304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4457292840).

2604962304 is an abundant number, since it is smaller than the sum of its proper divisors (6309623376).

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

2604962304 is a wasteful number, since it uses less digits than its factorization.

2604962304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 2604962304 is about 51038.8313345829. The cubic root of 2604962304 is about 1375.9431200573.

The spelling of 2604962304 in words is "two billion, six hundred four million, nine hundred sixty-two thousand, three hundred four".