2565773648 has 40 divisors (see below), whose sum is σ = 5206809600. Its totient is φ = 1222500224.

The previous prime is 2565773641. The next prime is 2565773657. The reversal of 2565773648 is 8463775652.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2565773648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2565773641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86033 + ... + 111951.

It is an arithmetic number, because the mean of its divisors is an integer number (130170240).

Almost surely, 2^2565773648 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 2565773648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2603404800).

2565773648 is an abundant number, since it is smaller than the sum of its proper divisors (2641035952).

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

2565773648 is a wasteful number, since it uses less digits than its factorization.

2565773648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26219 (or 26213 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 53.

The square root of 2565773648 is about 50653.4662979741. The cubic root of 2565773648 is about 1369.0084017524.

The spelling of 2565773648 in words is "two billion, five hundred sixty-five million, seven hundred seventy-three thousand, six hundred forty-eight".