2009216 has 32 divisors (see below), whose sum is σ = 4369680. Its totient is φ = 912640.

The previous prime is 2009209. The next prime is 2009219. The reversal of 2009216 is 6129002.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×2009216³ = 24333307172081369088, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2009219) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 695 + ... + 2121.

2^2009216 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 2009216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184840).

2009216 is an abundant number, since it is smaller than the sum of its proper divisors (2360464).

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

2009216 is a wasteful number, since it uses less digits than its factorization.

2009216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 2009216 is about 1417.4681654274. The cubic root of 2009216 is about 126.1853323687.

The spelling of 2009216 in words is "two million, nine thousand, two hundred sixteen".