2565319680 has 704 divisors, whose sum is σ = 11413416960. Its totient is φ = 530841600.

The previous prime is 2565319667. The next prime is 2565319721. The reversal of 2565319680 is 869135652.

2565319680 is a `hidden beast` number, since 2 + 56 + 531 + 9 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 10644360 + ... + 10644600.

It is an arithmetic number, because the mean of its divisors is an integer number (16212240).

Almost surely, 2^2565319680 is an apocalyptic number.

2565319680 is a gapful number since it is divisible by the number (20) 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 2565319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5706708480).

2565319680 is an abundant number, since it is smaller than the sum of its proper divisors (8848097280).

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

2565319680 is a wasteful number, since it uses less digits than its factorization.

2565319680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 2565319680 is about 50648.9849848938. The cubic root of 2565319680 is about 1368.9276564297.

The spelling of 2565319680 in words is "two billion, five hundred sixty-five million, three hundred nineteen thousand, six hundred eighty".