2604760894008 has 768 divisors, whose sum is σ = 9849337344000. Its totient is φ = 629800012800.

The previous prime is 2604760893979. The next prime is 2604760894061. The reversal of 2604760894008 is 8004980674062.

2604760894008 is a `hidden beast` number, since 2 + 60 + 47 + 60 + 89 + 400 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 81025618 + ... + 81057758.

It is an arithmetic number, because the mean of its divisors is an integer number (12824658000).

Almost surely, 2^{2604760894008} is an apocalyptic number.

2604760894008 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 2604760894008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4924668672000).

2604760894008 is an abundant number, since it is smaller than the sum of its proper divisors (7244576449992).

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

2604760894008 is a wasteful number, since it uses less digits than its factorization.

2604760894008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32233 (or 32216 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 2604760894008 in words is "two trillion, six hundred four billion, seven hundred sixty million, eight hundred ninety-four thousand, eight".