2565505704 has 192 divisors, whose sum is σ = 7130125440. Its totient is φ = 768268800.

The previous prime is 2565505699. The next prime is 2565505729. The reversal of 2565505704 is 4075055652.

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 47 ways as a sum of consecutive naturals, for example, 16990029 + ... + 16990179.

It is an arithmetic number, because the mean of its divisors is an integer number (37136070).

Almost surely, 2^2565505704 is an apocalyptic number.

2565505704 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 2565505704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3565062720).

2565505704 is an abundant number, since it is smaller than the sum of its proper divisors (4564619736).

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

2565505704 is a wasteful number, since it uses less digits than its factorization.

2565505704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 210000, while the sum is 39.

The square root of 2565505704 is about 50650.8213556306. The cubic root of 2565505704 is about 1368.9607448651.

The spelling of 2565505704 in words is "two billion, five hundred sixty-five million, five hundred five thousand, seven hundred four".