2564046720 has 384 divisors, whose sum is σ = 9305655840. Its totient is φ = 649838592.

The previous prime is 2564046679. The next prime is 2564046769. The reversal of 2564046720 is 276404652.

2564046720 is a `hidden beast` number, since 2 + 5 + 640 + 4 + 6 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11295247 + ... + 11295473.

Almost surely, 2^2564046720 is an apocalyptic number.

2564046720 is a gapful number since it is divisible by the number (20) 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 2564046720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4652827920).

2564046720 is an abundant number, since it is smaller than the sum of its proper divisors (6741609120).

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

2564046720 is a wasteful number, since it uses less digits than its factorization.

2564046720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2564046720 is about 50636.4169348504. The cubic root of 2564046720 is about 1368.7011897275.

The spelling of 2564046720 in words is "two billion, five hundred sixty-four million, forty-six thousand, seven hundred twenty".