2013216 has 48 divisors (see below), whose sum is σ = 5380704. Its totient is φ = 658944.

The previous prime is 2013197. The next prime is 2013227. The reversal of 2013216 is 6123102.

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

It is a junction number, because it is equal to n+sod(n) for n = 2013195 and 2013204.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6276 + ... + 6588.

It is an arithmetic number, because the mean of its divisors is an integer number (112098).

2^2013216 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 2013216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2690352).

2013216 is an abundant number, since it is smaller than the sum of its proper divisors (3367488).

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

2013216 is a wasteful number, since it uses less digits than its factorization.

2013216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2013216 is about 1418.8784303104. The cubic root of 2013216 is about 126.2690145527.

Adding to 2013216 its reverse (6123102), we get a palindrome (8136318).

It can be divided in two parts, 201 and 3216, that multiplied together give a square (646416 = 804²).

The spelling of 2013216 in words is "two million, thirteen thousand, two hundred sixteen".