2592288 has 36 divisors (see below), whose sum is σ = 7372638. Its totient is φ = 864000.

The previous prime is 2592287. The next prime is 2592311. The reversal of 2592288 is 8822952.

It can be written as a sum of positive squares in only one way, i.e., 2471184 + 121104 = 1572^2 + 348^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 (2592287) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4213 + ... + 4788.

2^2592288 is an apocalyptic number.

It is an amenable number.

2592288 is an abundant number, since it is smaller than the sum of its proper divisors (4780350).

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

2592288 is a wasteful number, since it uses less digits than its factorization.

2592288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9017 (or 9006 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 2592288 is about 1610.0583840346. The cubic root of 2592288 is about 137.3707965368.

It can be divided in two parts, 2592 and 288, that multiplied together give a square (746496 = 864²).

The spelling of 2592288 in words is "two million, five hundred ninety-two thousand, two hundred eighty-eight".