2238080 has 64 divisors (see below), whose sum is σ = 5783400. Its totient is φ = 823296.

The previous prime is 2238079. The next prime is 2238091. The reversal of 2238080 is 808322.

It can be written as a sum of positive squares in 4 ways, for example, as 817216 + 1420864 = 904^2 + 1192^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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, 8186 + ... + 8454.

2^2238080 is an apocalyptic number.

2238080 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 2238080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2891700).

2238080 is an abundant number, since it is smaller than the sum of its proper divisors (3545320).

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

2238080 is a wasteful number, since it uses less digits than its factorization.

2238080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 2238080 is about 1496.0213902214. The cubic root of 2238080 is about 130.8052581064.

The spelling of 2238080 in words is "two million, two hundred thirty-eight thousand, eighty".