2015216 has 40 divisors (see below), whose sum is σ = 4702080. Its totient is φ = 817344.

The previous prime is 2015213. The next prime is 2015267. The reversal of 2015216 is 6125102.

It is a super-2 number, since 2×2015216² = 8122191053312, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2015194 and 2015203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2015213) 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, 1655 + ... + 2601.

It is an arithmetic number, because the mean of its divisors is an integer number (117552).

2^2015216 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 2015216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351040).

2015216 is an abundant number, since it is smaller than the sum of its proper divisors (2686864).

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

2015216 is a wasteful number, since it uses less digits than its factorization.

2015216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 2015216 is about 1419.5830373740. The cubic root of 2015216 is about 126.3108140828.

The spelling of 2015216 in words is "two million, fifteen thousand, two hundred sixteen".