2564680320 has 448 divisors, whose sum is σ = 9632390400. Its totient is φ = 651442176.

The previous prime is 2564680319. The next prime is 2564680351. The reversal of 2564680320 is 230864652.

2564680320 is a `hidden beast` number, since 2 + 5 + 646 + 8 + 0 + 3 + 2 + 0 = 666.

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 55 ways as a sum of consecutive naturals, for example, 10730761 + ... + 10730999.

Almost surely, 2^2564680320 is an apocalyptic number.

2564680320 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 2564680320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4816195200).

2564680320 is an abundant number, since it is smaller than the sum of its proper divisors (7067710080).

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

2564680320 is an equidigital number, since it uses as much as digits as its factorization.

2564680320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2564680320 is about 50642.6729152402. The cubic root of 2564680320 is about 1368.8139200774.

The spelling of 2564680320 in words is "two billion, five hundred sixty-four million, six hundred eighty thousand, three hundred twenty".