2565312000 has 320 divisors, whose sum is σ = 8824578048. Its totient is φ = 660480000.

The previous prime is 2565311993. The next prime is 2565312049. The reversal of 2565312000 is 2135652.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5951785 + ... + 5952215.

Almost surely, 2^2565312000 is an apocalyptic number.

2565312000 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 2565312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4412289024).

2565312000 is an abundant number, since it is smaller than the sum of its proper divisors (6259266048).

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

2565312000 is an equidigital number, since it uses as much as digits as its factorization.

2565312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 2565312000 is about 50648.9091689051. The cubic root of 2565312000 is about 1368.9262903394.

Adding to 2565312000 its reverse (2135652), we get a palindrome (2567447652).

The spelling of 2565312000 in words is "two billion, five hundred sixty-five million, three hundred twelve thousand".