2268880 has 40 divisors (see below), whose sum is σ = 5356800. Its totient is φ = 893568.

The previous prime is 2268869. The next prime is 2268887. The reversal of 2268880 is 888622.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×2268880³ = 35039333391177216000, which contains 333 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2268887) 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, 6141 + ... + 6499.

It is an arithmetic number, because the mean of its divisors is an integer number (133920).

2^2268880 is an apocalyptic number.

2268880 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 2268880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678400).

2268880 is an abundant number, since it is smaller than the sum of its proper divisors (3087920).

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

2268880 is a wasteful number, since it uses less digits than its factorization.

2268880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 2268880 is about 1506.2801864195. The cubic root of 2268880 is about 131.4025648426.

The spelling of 2268880 in words is "two million, two hundred sixty-eight thousand, eight hundred eighty".