2284560 has 120 divisors (see below), whose sum is σ = 8124480. Its totient is φ = 573696.

The previous prime is 2284549. The next prime is 2284573. The reversal of 2284560 is 654822.

2284560 is a `hidden beast` number, since 22 + 84 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13597 + ... + 13763.

It is an arithmetic number, because the mean of its divisors is an integer number (67704).

2^2284560 is an apocalyptic number.

2284560 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 2284560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4062240).

2284560 is an abundant number, since it is smaller than the sum of its proper divisors (5839920).

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

2284560 is a wasteful number, since it uses less digits than its factorization.

2284560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2284560 is about 1511.4760997118. The cubic root of 2284560 is about 131.7045734649.

The spelling of 2284560 in words is "two million, two hundred eighty-four thousand, five hundred sixty".