2115216 has 60 divisors (see below), whose sum is σ = 6094972. Its totient is φ = 684288.

The previous prime is 2115203. The next prime is 2115221. The reversal of 2115216 is 6125112.

It can be written as a sum of positive squares in 2 ways, for example, as 1679616 + 435600 = 1296^2 + 660^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5130 + ... + 5526.

2^2115216 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 2115216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3047486).

2115216 is an abundant number, since it is smaller than the sum of its proper divisors (3979756).

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

2115216 is a wasteful number, since it uses less digits than its factorization.

2115216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 439 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 2115216 is about 1454.3782176587. The cubic root of 2115216 is about 128.3664628398.

The spelling of 2115216 in words is "two million, one hundred fifteen thousand, two hundred sixteen".