2185216 has 48 divisors (see below), whose sum is σ = 4815720. Its totient is φ = 983040.

The previous prime is 2185201. The next prime is 2185241. The reversal of 2185216 is 6125812.

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22480 + ... + 22576.

2^2185216 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 2185216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2407860).

2185216 is an abundant number, since it is smaller than the sum of its proper divisors (2630504).

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

2185216 is an equidigital number, since it uses as much as digits as its factorization.

2185216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 110 counting only the distinct ones).

The product of its digits is 960, while the sum is 25.

The square root of 2185216 is about 1478.2476111937. The cubic root of 2185216 is about 129.7671571690.

It can be divided in two parts, 2185 and 216, that added together give a 4-th power (2401 = 7⁴).

The spelling of 2185216 in words is "two million, one hundred eighty-five thousand, two hundred sixteen".