2565839682 has 144 divisors (see below), whose sum is σ = 6970010112. Its totient is φ = 667422720.

The previous prime is 2565839663. The next prime is 2565839687. The reversal of 2565839682 is 2869385652.

2565839682 is a `hidden beast` number, since 2 + 56 + 583 + 9 + 6 + 8 + 2 = 666.

It is a super-2 number, since 2×2565839682² = 13167066547451722248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2565839687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1127698 + ... + 1129970.

It is an arithmetic number, because the mean of its divisors is an integer number (48402848).

Almost surely, 2^2565839682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2565839682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3485005056).

2565839682 is an abundant number, since it is smaller than the sum of its proper divisors (4404170430).

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

2565839682 is a wasteful number, since it uses less digits than its factorization.

2565839682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2353 (or 2333 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The square root of 2565839682 is about 50654.1181149174. The cubic root of 2565839682 is about 1369.0201461406.

The spelling of 2565839682 in words is "two billion, five hundred sixty-five million, eight hundred thirty-nine thousand, six hundred eighty-two".