2605768704 has 672 divisors, whose sum is σ = 10304775936. Its totient is φ = 637009920.

The previous prime is 2605768681. The next prime is 2605768709. The reversal of 2605768704 is 4078675062.

2605768704 is a `hidden beast` number, since 2 + 6 + 0 + 576 + 8 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 2605768704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2605768709) 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, 153280504 + ... + 153280520.

It is an arithmetic number, because the mean of its divisors is an integer number (15334488).

Almost surely, 2^2605768704 is an apocalyptic number.

2605768704 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 2605768704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5152387968).

2605768704 is an abundant number, since it is smaller than the sum of its proper divisors (7699007232).

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

2605768704 is an equidigital number, since it uses as much as digits as its factorization.

2605768704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 2605768704 is about 51046.7305907048. The cubic root of 2605768704 is about 1376.0850857788.

The spelling of 2605768704 in words is "two billion, six hundred five million, seven hundred sixty-eight thousand, seven hundred four".