2565085824 has 288 divisors, whose sum is σ = 8743007520. Its totient is φ = 707097600.

The previous prime is 2565085781. The next prime is 2565085841. The reversal of 2565085824 is 4285805652.

It is a happy number.

2565085824 is a `hidden beast` number, since 2 + 5 + 65 + 0 + 8 + 582 + 4 = 666.

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 2565085824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7749339 + ... + 7749669.

It is an arithmetic number, because the mean of its divisors is an integer number (30357665).

Almost surely, 2^2565085824 is an apocalyptic number.

2565085824 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 2565085824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4371503760).

2565085824 is an abundant number, since it is smaller than the sum of its proper divisors (6177921696).

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

2565085824 is a wasteful number, since it uses less digits than its factorization.

2565085824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The square root of 2565085824 is about 50646.6763371497. The cubic root of 2565085824 is about 1368.8860577579.

The spelling of 2565085824 in words is "two billion, five hundred sixty-five million, eighty-five thousand, eight hundred twenty-four".