2565013344 has 96 divisors (see below), whose sum is σ = 7113899520. Its totient is φ = 807916032.

The previous prime is 2565013343. The next prime is 2565013349. The reversal of 2565013344 is 4433105652.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2565013343) 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 15 ways as a sum of consecutive naturals, for example, 121047 + ... + 140649.

It is an arithmetic number, because the mean of its divisors is an integer number (74103120).

Almost surely, 2^2565013344 is an apocalyptic number.

2565013344 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 2565013344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3556949760).

2565013344 is an abundant number, since it is smaller than the sum of its proper divisors (4548886176).

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

2565013344 is a wasteful number, since it uses less digits than its factorization.

2565013344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19692 (or 19684 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 2565013344 is about 50645.9607866215. The cubic root of 2565013344 is about 1368.8731643887.

Adding to 2565013344 its reverse (4433105652), we get a palindrome (6998118996).

The spelling of 2565013344 in words is "two billion, five hundred sixty-five million, thirteen thousand, three hundred forty-four".