2625565824 has 288 divisors, whose sum is σ = 8871059340. Its totient is φ = 743178240.

The previous prime is 2625565819. The next prime is 2625565849. The reversal of 2625565824 is 4285655262.

It is a happy number.

2625565824 is a `hidden beast` number, since 2 + 6 + 2 + 5 + 565 + 82 + 4 = 666.

2625565824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2625537600 + 28224 = 51240^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 2625565824.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10894344 + ... + 10894584.

Almost surely, 2^2625565824 is an apocalyptic number.

2625565824 is a gapful number since it is divisible by the number (24) 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 2625565824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4435529670).

2625565824 is an abundant number, since it is smaller than the sum of its proper divisors (6245493516).

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

2625565824 is a wasteful number, since it uses less digits than its factorization.

2625565824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 446 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

The square root of 2625565824 is about 51240.2754090959. The cubic root of 2625565824 is about 1379.5611963406.

The spelling of 2625565824 in words is "two billion, six hundred twenty-five million, five hundred sixty-five thousand, eight hundred twenty-four".