2218560 has 56 divisors (see below), whose sum is σ = 7046976. Its totient is φ = 591360.

The previous prime is 2218549. The next prime is 2218561. The reversal of 2218560 is 658122.

2218560 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 2218560.

It is not an unprimeable number, because it can be changed into a prime (2218561) 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, 196 + ... + 2115.

2^2218560 is an apocalyptic number.

2218560 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 2218560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3523488).

2218560 is an abundant number, since it is smaller than the sum of its proper divisors (4828416).

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

2218560 is a wasteful number, since it uses less digits than its factorization.

2218560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2331 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2218560 is about 1489.4831318280. The cubic root of 2218560 is about 130.4238630472.

The spelling of 2218560 in words is "two million, two hundred eighteen thousand, five hundred sixty".