2604930048 has 264 divisors, whose sum is σ = 8685830400. Its totient is φ = 736542720.

The previous prime is 2604930037. The next prime is 2604930059. The reversal of 2604930048 is 8400394062.

It is a happy number.

2604930048 is a `hidden beast` number, since 2 + 604 + 9 + 3 + 0 + 0 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (2604930037) and next prime (2604930059).

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 a junction number, because it is equal to n+sod(n) for n = 2604929994 and 2604930021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9612153 + ... + 9612423.

Almost surely, 2^2604930048 is an apocalyptic number.

2604930048 is a gapful number since it is divisible by the number (28) 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 2604930048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4342915200).

2604930048 is an abundant number, since it is smaller than the sum of its proper divisors (6080900352).

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

2604930048 is a wasteful number, since it uses less digits than its factorization.

2604930048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2604930048 is about 51038.5153389085. The cubic root of 2604930048 is about 1375.9374408191.

The spelling of 2604930048 in words is "two billion, six hundred four million, nine hundred thirty thousand, forty-eight".