2558688 has 48 divisors (see below), whose sum is σ = 7330176. Its totient is φ = 775040.

The previous prime is 2558683. The next prime is 2558701. The reversal of 2558688 is 8868552.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2558683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156 + ... + 2267.

It is an arithmetic number, because the mean of its divisors is an integer number (152712).

2^2558688 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 2558688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3665088).

2558688 is an abundant number, since it is smaller than the sum of its proper divisors (4771488).

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

2558688 is a wasteful number, since it uses less digits than its factorization.

2558688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2447 (or 2439 counting only the distinct ones).

The product of its digits is 153600, while the sum is 42.

The square root of 2558688 is about 1599.5899474553. The cubic root of 2558688 is about 136.7747020694.

The spelling of 2558688 in words is "two million, five hundred fifty-eight thousand, six hundred eighty-eight".