2565304320 has 208 divisors, whose sum is σ = 8407504512. Its totient is φ = 667484160.

The previous prime is 2565304307. The next prime is 2565304351. The reversal of 2565304320 is 234035652.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2641435 + ... + 2642405.

Almost surely, 2^2565304320 is an apocalyptic number.

2565304320 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 2565304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4203752256).

2565304320 is an abundant number, since it is smaller than the sum of its proper divisors (5842200192).

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

2565304320 is an equidigital number, since it uses as much as digits as its factorization.

2565304320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 2565304320 is about 50648.8333528029. The cubic root of 2565304320 is about 1368.9249242464.

Adding to 2565304320 its reverse (234035652), we get a palindrome (2799339972).

The spelling of 2565304320 in words is "two billion, five hundred sixty-five million, three hundred four thousand, three hundred twenty".