2564190720 has 480 divisors, whose sum is σ = 10938799872. Its totient is φ = 540573696.

The previous prime is 2564190679. The next prime is 2564190737. The reversal of 2564190720 is 270914652.

2564190720 is a `hidden beast` number, since 2 + 5 + 641 + 9 + 0 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

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, 2096029 + ... + 2097251.

Almost surely, 2^2564190720 is an apocalyptic number.

2564190720 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 2564190720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5469399936).

2564190720 is an abundant number, since it is smaller than the sum of its proper divisors (8374609152).

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

2564190720 is a wasteful number, since it uses less digits than its factorization.

2564190720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2564190720 is about 50637.8388164424. The cubic root of 2564190720 is about 1368.7268118922.

The spelling of 2564190720 in words is "two billion, five hundred sixty-four million, one hundred ninety thousand, seven hundred twenty".