2604397824 has 648 divisors, whose sum is σ = 9814633920. Its totient is φ = 658538496.

The previous prime is 2604397771. The next prime is 2604397843. The reversal of 2604397824 is 4287934062.

2604397824 is a `hidden beast` number, since 2 + 604 + 39 + 7 + 8 + 2 + 4 = 666.

2604397824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2604397824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44142307 + ... + 44142365.

It is an arithmetic number, because the mean of its divisors is an integer number (15146040).

Almost surely, 2^2604397824 is an apocalyptic number.

2604397824 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 2604397824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4907316960).

2604397824 is an abundant number, since it is smaller than the sum of its proper divisors (7210236096).

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

2604397824 is a wasteful number, since it uses less digits than its factorization.

2604397824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 2604397824 is about 51033.3011277930. The cubic root of 2604397824 is about 1375.8437266189.

The spelling of 2604397824 in words is "two billion, six hundred four million, three hundred ninety-seven thousand, eight hundred twenty-four".