2216864 has 36 divisors (see below), whose sum is σ = 4765446. Its totient is φ = 1009152.

The previous prime is 2216861. The next prime is 2216873. The reversal of 2216864 is 4686122.

2216864 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 3 ways, for example, as 1669264 + 547600 = 1292^2 + 740^2 .

It is not an unprimeable number, because it can be changed into a prime (2216861) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30332 + ... + 30404.

2^2216864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2216864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2382723).

2216864 is an abundant number, since it is smaller than the sum of its proper divisors (2548582).

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

2216864 is an equidigital number, since it uses as much as digits as its factorization.

2216864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 88 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

The square root of 2216864 is about 1488.9136979691. The cubic root of 2216864 is about 130.3906199734.

The spelling of 2216864 in words is "two million, two hundred sixteen thousand, eight hundred sixty-four".