2565800064 has 224 divisors, whose sum is σ = 7919965440. Its totient is φ = 826744320.

The previous prime is 2565800063. The next prime is 2565800101. The reversal of 2565800064 is 4600085652.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2565800063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2892229 + ... + 2893115.

Almost surely, 2^2565800064 is an apocalyptic number.

2565800064 is a gapful number since it is divisible by the number (24) 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 2565800064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3959982720).

2565800064 is an abundant number, since it is smaller than the sum of its proper divisors (5354165376).

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

2565800064 is an frugal number, since it uses more digits than its factorization.

2565800064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2565800064 is about 50653.7270494482. The cubic root of 2565800064 is about 1369.0130999587.

The spelling of 2565800064 in words is "two billion, five hundred sixty-five million, eight hundred thousand, sixty-four".