2284080 has 80 divisors (see below), whose sum is σ = 7332864. Its totient is φ = 587520.

The previous prime is 2284057. The next prime is 2284109. The reversal of 2284080 is 804822.

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

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2284080.

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, 7287 + ... + 7593.

2^2284080 is an apocalyptic number.

2284080 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 2284080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3666432).

2284080 is an abundant number, since it is smaller than the sum of its proper divisors (5048784).

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

2284080 is a wasteful number, since it uses less digits than its factorization.

2284080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 2284080 is about 1511.3173061935. The cubic root of 2284080 is about 131.6953488405.

The spelling of 2284080 in words is "two million, two hundred eighty-four thousand, eighty".