2564997120 has 540 divisors, whose sum is σ = 10489109904. Its totient is φ = 578027520.

The previous prime is 2564997109. The next prime is 2564997137. The reversal of 2564997120 is 217994652.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36126685 + ... + 36126755.

Almost surely, 2^2564997120 is an apocalyptic number.

2564997120 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 2564997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5244554952).

2564997120 is an abundant number, since it is smaller than the sum of its proper divisors (7924112784).

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

2564997120 is an equidigital number, since it uses as much as digits as its factorization.

2564997120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 2564997120 is about 50645.8006156483. The cubic root of 2564997120 is about 1368.8702782900.

The spelling of 2564997120 in words is "two billion, five hundred sixty-four million, nine hundred ninety-seven thousand, one hundred twenty".