2564463824 has 40 divisors (see below), whose sum is σ = 5364989952. Its totient is φ = 1180471680.

The previous prime is 2564463791. The next prime is 2564463833. The reversal of 2564463824 is 4283644652.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63569 + ... + 95759.

Almost surely, 2^2564463824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2564463824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2682494976).

2564463824 is an abundant number, since it is smaller than the sum of its proper divisors (2800526128).

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

2564463824 is a wasteful number, since it uses less digits than its factorization.

2564463824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32595 (or 32589 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 44.

The square root of 2564463824 is about 50640.5353842157. The cubic root of 2564463824 is about 1368.7754031162.

The spelling of 2564463824 in words is "two billion, five hundred sixty-four million, four hundred sixty-three thousand, eight hundred twenty-four".