2133216 has 60 divisors (see below), whose sum is σ = 6281352. Its totient is φ = 710208.

The previous prime is 2133191. The next prime is 2133217. The reversal of 2133216 is 6123312.

It is a super-2 number, since 2×2133216² = 9101221005312, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) 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 (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2181 + ... + 3003.

2^2133216 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 2133216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3140676).

2133216 is an abundant number, since it is smaller than the sum of its proper divisors (4148136).

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

2133216 is an equidigital number, since it uses as much as digits as its factorization.

2133216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 828 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 2133216 is about 1460.5533198073. The cubic root of 2133216 is about 128.7295578190.

Adding to 2133216 its reverse (6123312), we get a palindrome (8256528).

The spelling of 2133216 in words is "two million, one hundred thirty-three thousand, two hundred sixteen".