2564336440 has 64 divisors (see below), whose sum is σ = 6128148960. Its totient is φ = 962396160.

The previous prime is 2564336429. The next prime is 2564336473. The reversal of 2564336440 is 446334652.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2564336440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219384 + ... + 230776.

Almost surely, 2^2564336440 is an apocalyptic number.

2564336440 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 2564336440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3064074480).

2564336440 is an abundant number, since it is smaller than the sum of its proper divisors (3563812520).

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

2564336440 is a wasteful number, since it uses less digits than its factorization.

2564336440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11752 (or 11748 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 37.

The square root of 2564336440 is about 50639.2776409775. The cubic root of 2564336440 is about 1368.7527391228.

The spelling of 2564336440 in words is "two billion, five hundred sixty-four million, three hundred thirty-six thousand, four hundred forty".