2109216 has 48 divisors (see below), whose sum is σ = 5612544. Its totient is φ = 693504.

The previous prime is 2109203. The next prime is 2109223. The reversal of 2109216 is 6129012.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 2109192 and 2109201.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12106 + ... + 12278.

It is an arithmetic number, because the mean of its divisors is an integer number (116928).

2^2109216 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 2109216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2806272).

2109216 is an abundant number, since it is smaller than the sum of its proper divisors (3503328).

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

2109216 is a wasteful number, since it uses less digits than its factorization.

2109216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 2109216 is about 1452.3140156316. The cubic root of 2109216 is about 128.2449735651.

The spelling of 2109216 in words is "two million, one hundred nine thousand, two hundred sixteen".