2624252256 has 144 divisors (see below), whose sum is σ = 7773122448. Its totient is φ = 870912000.

The previous prime is 2624252221. The next prime is 2624252263. The reversal of 2624252256 is 6522524262.

2624252256 is a `hidden beast` number, since 2 + 6 + 2 + 425 + 225 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2624252256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2184456 + ... + 2185656.

It is an arithmetic number, because the mean of its divisors is an integer number (53980017).

Almost surely, 2^2624252256 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 2624252256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3886561224).

2624252256 is an abundant number, since it is smaller than the sum of its proper divisors (5148870192).

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

2624252256 is a wasteful number, since it uses less digits than its factorization.

2624252256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507 (or 1487 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 2624252256 is about 51227.4560758193. The cubic root of 2624252256 is about 1379.3310935929.

The spelling of 2624252256 in words is "two billion, six hundred twenty-four million, two hundred fifty-two thousand, two hundred fifty-six".