2113216 has 56 divisors (see below), whose sum is σ = 4937760. Its totient is φ = 878592.

The previous prime is 2113211. The next prime is 2113229. The reversal of 2113216 is 6123112.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a self number, because there is not a number n which added to its sum of digits gives 2113216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23700 + ... + 23788.

2^2113216 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 2113216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2468880).

2113216 is an abundant number, since it is smaller than the sum of its proper divisors (2824544).

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

2113216 is an equidigital number, since it uses as much as digits as its factorization.

2113216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 151 counting only the distinct ones).

The product of its digits is 72, while the sum is 16.

The square root of 2113216 is about 1453.6904759955. The cubic root of 2113216 is about 128.3259919715.

Adding to 2113216 its reverse (6123112), we get a palindrome (8236328).

The spelling of 2113216 in words is "two million, one hundred thirteen thousand, two hundred sixteen".