2234880 has 120 divisors (see below), whose sum is σ = 7819812. Its totient is φ = 589824.

The previous prime is 2234863. The next prime is 2234899. The reversal of 2234880 is 884322.

It can be written as a sum of positive squares in 2 ways, for example, as 2214144 + 20736 = 1488^2 + 144^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×2234880² = 9989377228800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22992 + ... + 23088.

2^2234880 is an apocalyptic number.

2234880 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 2234880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3909906).

2234880 is an abundant number, since it is smaller than the sum of its proper divisors (5584932).

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

2234880 is an equidigital number, since it uses as much as digits as its factorization.

2234880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2234880 is about 1494.9515042302. The cubic root of 2234880 is about 130.7428867170.

The spelling of 2234880 in words is "two million, two hundred thirty-four thousand, eight hundred eighty".