2258880 has 112 divisors (see below), whose sum is σ = 7766304. Its totient is φ = 552960.

The previous prime is 2258873. The next prime is 2258903. The reversal of 2258880 is 888522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12390 + ... + 12570.

It is an arithmetic number, because the mean of its divisors is an integer number (69342).

2^2258880 is an apocalyptic number.

2258880 is a gapful number since it is divisible by the number (20) 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 2258880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3883152).

2258880 is an abundant number, since it is smaller than the sum of its proper divisors (5507424).

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

2258880 is a wasteful number, since it uses less digits than its factorization.

2258880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 2258880 is about 1502.9570852157. The cubic root of 2258880 is about 131.2092299673.

The spelling of 2258880 in words is "two million, two hundred fifty-eight thousand, eight hundred eighty".