2604605306688 has 336 divisors, whose sum is σ = 9855319953024. Its totient is φ = 636725329920.

The previous prime is 2604605306669. The next prime is 2604605306689. The reversal of 2604605306688 is 8866035064062.

It is a happy number.

2604605306688 is a `hidden beast` number, since 2 + 6 + 0 + 46 + 0 + 530 + 6 + 68 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2604605306689) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 973245 + ... + 2481212.

It is an arithmetic number, because the mean of its divisors is an integer number (29331309384).

Almost surely, 2^{2604605306688} is an apocalyptic number.

2604605306688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2604605306688 is an abundant number, since it is smaller than the sum of its proper divisors (7250714646336).

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

2604605306688 is a wasteful number, since it uses less digits than its factorization.

2604605306688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3454510 (or 3454497 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 2604605306688 in words is "two trillion, six hundred four billion, six hundred five million, three hundred six thousand, six hundred eighty-eight".