2284880 has 50 divisors (see below), whose sum is σ = 5755026. Its totient is φ = 843648.

The previous prime is 2284879. The next prime is 2284913. The reversal of 2284880 is 884822.

It can be written as a sum of positive squares in 5 ways, for example, as 2050624 + 234256 = 1432^2 + 484^2 .

It is a super-2 number, since 2×2284880² = 10441353228800, which contains 22 as substring.

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 175754 + ... + 175766.

2^2284880 is an apocalyptic number.

2284880 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 2284880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2877513).

2284880 is an abundant number, since it is smaller than the sum of its proper divisors (3470146).

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

2284880 is an frugal number, since it uses more digits than its factorization.

2284880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 2284880 is about 1511.5819527899. The cubic root of 2284880 is about 131.7107224966.

The spelling of 2284880 in words is "two million, two hundred eighty-four thousand, eight hundred eighty".