2564634688 has 280 divisors, whose sum is σ = 7068677760. Its totient is φ = 899543040.

The previous prime is 2564634617. The next prime is 2564634697. The reversal of 2564634688 is 8864364652.

Its product of digits (6635520) is a multiple of the sum of its prime divisors (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 111505845 + ... + 111505867.

Almost surely, 2^2564634688 is an apocalyptic number.

2564634688 is a gapful number since it is divisible by the number (28) 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 2564634688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3534338880).

2564634688 is an abundant number, since it is smaller than the sum of its proper divisors (4504043072).

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

2564634688 is an equidigital number, since it uses as much as digits as its factorization.

2564634688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 60 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 52.

The square root of 2564634688 is about 50642.2223840937. Note that the first 3 decimals coincide. The cubic root of 2564634688 is about 1368.8058018353.

The spelling of 2564634688 in words is "two billion, five hundred sixty-four million, six hundred thirty-four thousand, six hundred eighty-eight".