2588768 has 72 divisors (see below), whose sum is σ = 6435072. Its totient is φ = 1016064.

The previous prime is 2588767. The next prime is 2588771. The reversal of 2588768 is 8678852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2588767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20321 + ... + 20447.

It is an arithmetic number, because the mean of its divisors is an integer number (89376).

2^2588768 is an apocalyptic number.

2588768 is a gapful number since it is divisible by the number (28) 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 2588768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3217536).

2588768 is an abundant number, since it is smaller than the sum of its proper divisors (3846304).

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

2588768 is a wasteful number, since it uses less digits than its factorization.

2588768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 149 counting only the distinct ones).

The product of its digits is 215040, while the sum is 44.

The square root of 2588768 is about 1608.9648846386. The cubic root of 2588768 is about 137.3085909700.

The spelling of 2588768 in words is "two million, five hundred eighty-eight thousand, seven hundred sixty-eight".