2565734400 has 432 divisors, whose sum is σ = 9751719600. Its totient is φ = 660602880.

The previous prime is 2565734377. The next prime is 2565734443. The reversal of 2565734400 is 44375652.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×2565734400² = 13165986022686720000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88473586 + ... + 88473614.

It is an arithmetic number, because the mean of its divisors is an integer number (22573425).

Almost surely, 2^2565734400 is an apocalyptic number.

2565734400 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 2565734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4875859800).

2565734400 is an abundant number, since it is smaller than the sum of its proper divisors (7185985200).

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

2565734400 is an frugal number, since it uses more digits than its factorization.

2565734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 2565734400 is about 50653.0788797680. The cubic root of 2565734400 is about 1369.0014212567.

The spelling of 2565734400 in words is "two billion, five hundred sixty-five million, seven hundred thirty-four thousand, four hundred".