2565426816 has 224 divisors, whose sum is σ = 8071586400. Its totient is φ = 809574912.

The previous prime is 2565426811. The next prime is 2565426821. The reversal of 2565426816 is 6186245652.

2565426816 is a `hidden beast` number, since 2 + 565 + 4 + 2 + 6 + 81 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2565426811) and next prime (2565426821).

It is not an unprimeable number, because it can be changed into a prime (2565426811) 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 27 ways as a sum of consecutive naturals, for example, 1772205 + ... + 1773651.

Almost surely, 2^2565426816 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 2565426816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4035793200).

2565426816 is an abundant number, since it is smaller than the sum of its proper divisors (5506159584).

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

2565426816 is an equidigital number, since it uses as much as digits as its factorization.

2565426816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1471 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 2565426816 is about 50650.0426061025. The cubic root of 2565426816 is about 1368.9467131049.

The spelling of 2565426816 in words is "two billion, five hundred sixty-five million, four hundred twenty-six thousand, eight hundred sixteen".