2564696736 has 384 divisors, whose sum is σ = 8957007360. Its totient is φ = 698720256.

The previous prime is 2564696731. The next prime is 2564696753. The reversal of 2564696736 is 6376964652.

2564696736 is a `hidden beast` number, since 2 + 564 + 6 + 9 + 6 + 73 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2564696731) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16335570 + ... + 16335726.

It is an arithmetic number, because the mean of its divisors is an integer number (23325540).

Almost surely, 2^2564696736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2564696736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4478503680).

2564696736 is an abundant number, since it is smaller than the sum of its proper divisors (6392310624).

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

2564696736 is a wasteful number, since it uses less digits than its factorization.

2564696736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 279 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 54.

The square root of 2564696736 is about 50642.8349917340. The cubic root of 2564696736 is about 1368.8168405715.

The spelling of 2564696736 in words is "two billion, five hundred sixty-four million, six hundred ninety-six thousand, seven hundred thirty-six".