2588288 has 32 divisors (see below), whose sum is σ = 5245860. Its totient is φ = 1271808.

The previous prime is 2588281. The next prime is 2588293. The reversal of 2588288 is 8828852.

2588288 is nontrivially palindromic in base 7.

2588288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2534464 + 53824 = 1592^2 + 232^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (2588281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9206 + ... + 9482.

2^2588288 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 2588288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622930).

2588288 is an abundant number, since it is smaller than the sum of its proper divisors (2657572).

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

2588288 is an equidigital number, since it uses as much as digits as its factorization.

2588288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 352 counting only the distinct ones).

The product of its digits is 81920, while the sum is 41.

The square root of 2588288 is about 1608.8157134986. The cubic root of 2588288 is about 137.3001040246.

The spelling of 2588288 in words is "two million, five hundred eighty-eight thousand, two hundred eighty-eight".