2565673344 has 192 divisors, whose sum is σ = 8072741040. Its totient is φ = 777351168.

The previous prime is 2565673333. The next prime is 2565673373. The reversal of 2565673344 is 4433765652.

2565673344 is a `hidden beast` number, since 2 + 56 + 567 + 3 + 34 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2565673344² = 13165359416224284672, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2565673344.

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, 1002114 + ... + 1004670.

Almost surely, 2^2565673344 is an apocalyptic number.

2565673344 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 2565673344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4036370520).

2565673344 is an abundant number, since it is smaller than the sum of its proper divisors (5507067696).

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

2565673344 is a wasteful number, since it uses less digits than its factorization.

2565673344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2657 (or 2642 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 45.

The square root of 2565673344 is about 50652.4761882378. The cubic root of 2565673344 is about 1368.9905619340.

The spelling of 2565673344 in words is "two billion, five hundred sixty-five million, six hundred seventy-three thousand, three hundred forty-four".