2565324766300 has 72 divisors (see below), whose sum is σ = 5760542864160. Its totient is φ = 990431097600.

The previous prime is 2565324766247. The next prime is 2565324766309. The reversal of 2565324766300 is 36674235652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2565324766309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9085857 + ... + 9363943.

It is an arithmetic number, because the mean of its divisors is an integer number (80007539780).

Almost surely, 2^{2565324766300} is an apocalyptic number.

2565324766300 is a gapful number since it is divisible by the number (20) 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 2565324766300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880271432080).

2565324766300 is an abundant number, since it is smaller than the sum of its proper divisors (3195218097860).

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

2565324766300 is a wasteful number, since it uses less digits than its factorization.

2565324766300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281311 (or 281304 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 49.

The spelling of 2565324766300 in words is "two trillion, five hundred sixty-five billion, three hundred twenty-four million, seven hundred sixty-six thousand, three hundred".