2564555224 has 64 divisors (see below), whose sum is σ = 6004627200. Its totient is φ = 997584000.

The previous prime is 2564555219. The next prime is 2564555239. The reversal of 2564555224 is 4225554652.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 428847 + ... + 434785.

It is an arithmetic number, because the mean of its divisors is an integer number (93822300).

Almost surely, 2^2564555224 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 2564555224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3002313600).

2564555224 is an abundant number, since it is smaller than the sum of its proper divisors (3440071976).

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

2564555224 is a wasteful number, since it uses less digits than its factorization.

2564555224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6664 (or 6660 counting only the distinct ones).

The product of its digits is 480000, while the sum is 40.

The square root of 2564555224 is about 50641.4378152911. The cubic root of 2564555224 is about 1368.7916644212.

The spelling of 2564555224 in words is "two billion, five hundred sixty-four million, five hundred fifty-five thousand, two hundred twenty-four".