2282880 has 128 divisors (see below), whose sum is σ = 7711200. Its totient is φ = 573440.

The previous prime is 2282867. The next prime is 2282897. The reversal of 2282880 is 882822.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 55660 + ... + 55700.

2^2282880 is an apocalyptic number.

2282880 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 2282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3855600).

2282880 is an abundant number, since it is smaller than the sum of its proper divisors (5428320).

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

2282880 is a wasteful number, since it uses less digits than its factorization.

2282880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 2282880 is about 1510.9202493845. The cubic root of 2282880 is about 131.6722816242.

The spelling of 2282880 in words is "two million, two hundred eighty-two thousand, eight hundred eighty".