2565288 has 96 divisors (see below), whose sum is σ = 7862400. Its totient is φ = 748800.

The previous prime is 2565263. The next prime is 2565289. The reversal of 2565288 is 8825652.

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

It is not an unprimeable number, because it can be changed into a prime (2565289) 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, 32433 + ... + 32511.

It is an arithmetic number, because the mean of its divisors is an integer number (81900).

2^2565288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2565288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931200).

2565288 is an abundant number, since it is smaller than the sum of its proper divisors (5297112).

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

2565288 is a wasteful number, since it uses less digits than its factorization.

2565288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 136 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 2565288 is about 1601.6516475189. The cubic root of 2565288 is about 136.8922021290.

It can be divided in two parts, 2565 and 288, that multiplied together give a triangular number (738720 = T₁₂₁₅).

The spelling of 2565288 in words is "two million, five hundred sixty-five thousand, two hundred eighty-eight".