2565440416 has 48 divisors (see below), whose sum is σ = 6296996160. Its totient is φ = 999521280.

The previous prime is 2565440413. The next prime is 2565440531. The reversal of 2565440416 is 6140445652.

It is not an unprimeable number, because it can be changed into a prime (2565440413) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 518121 + ... + 523048.

It is an arithmetic number, because the mean of its divisors is an integer number (131187420).

Almost surely, 2^2565440416 is an apocalyptic number.

It is an amenable number.

2565440416 is an abundant number, since it is smaller than the sum of its proper divisors (3731555744).

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

2565440416 is a wasteful number, since it uses less digits than its factorization.

2565440416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041197 (or 1041189 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

The square root of 2565440416 is about 50650.1768605007. The cubic root of 2565440416 is about 1368.9491321491.

The spelling of 2565440416 in words is "two billion, five hundred sixty-five million, four hundred forty thousand, four hundred sixteen".