2286080 has 80 divisors (see below), whose sum is σ = 5892480. Its totient is φ = 847872.

The previous prime is 2286059. The next prime is 2286083. The reversal of 2286080 is 806822.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2286083) 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, 48617 + ... + 48663.

It is an arithmetic number, because the mean of its divisors is an integer number (73656).

2^2286080 is an apocalyptic number.

2286080 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 2286080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946240).

2286080 is an abundant number, since it is smaller than the sum of its proper divisors (3606400).

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

2286080 is an equidigital number, since it uses as much as digits as its factorization.

2286080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 2286080 is about 1511.9788358307. The cubic root of 2286080 is about 131.7337762537.

The spelling of 2286080 in words is "two million, two hundred eighty-six thousand, eighty".