2258688 has 72 divisors (see below), whose sum is σ = 6401808. Its totient is φ = 704512.

The previous prime is 2258657. The next prime is 2258713. The reversal of 2258688 is 8868522.

It is a zygodrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12970 + ... + 13142.

It is an arithmetic number, because the mean of its divisors is an integer number (88914).

2^2258688 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 2258688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3200904).

2258688 is an abundant number, since it is smaller than the sum of its proper divisors (4143120).

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

2258688 is a wasteful number, since it uses less digits than its factorization.

2258688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 195 counting only the distinct ones).

The product of its digits is 61440, while the sum is 39.

The square root of 2258688 is about 1502.8932097791. The cubic root of 2258688 is about 131.2055123601.

The spelling of 2258688 in words is "two million, two hundred fifty-eight thousand, six hundred eighty-eight".