2565461624 has 64 divisors (see below), whose sum is σ = 5606409600. Its totient is φ = 1088208000.

The previous prime is 2565461623. The next prime is 2565461651. The reversal of 2565461624 is 4261645652.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2565461623) 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, 100574 + ... + 123474.

It is an arithmetic number, because the mean of its divisors is an integer number (87600150).

Almost surely, 2^2565461624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2565461624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2803204800).

2565461624 is an abundant number, since it is smaller than the sum of its proper divisors (3040947976).

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

2565461624 is a wasteful number, since it uses less digits than its factorization.

2565461624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23004 (or 23000 counting only the distinct ones).

The product of its digits is 345600, while the sum is 41.

The square root of 2565461624 is about 50650.3862176785. The cubic root of 2565461624 is about 1368.9529044180.

It can be divided in two parts, 25654 and 61624, that added together give a palindrome (87278).

The spelling of 2565461624 in words is "two billion, five hundred sixty-five million, four hundred sixty-one thousand, six hundred twenty-four".