2157216 has 48 divisors (see below), whose sum is σ = 5914944. Its totient is φ = 687104.

The previous prime is 2157209. The next prime is 2157229. The reversal of 2157216 is 6127512.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1720 + ... + 2696.

It is an arithmetic number, because the mean of its divisors is an integer number (123228).

2^2157216 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 2157216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2957472).

2157216 is an abundant number, since it is smaller than the sum of its proper divisors (3757728).

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

2157216 is a wasteful number, since it uses less digits than its factorization.

2157216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 1005 counting only the distinct ones).

The product of its digits is 840, while the sum is 24.

The square root of 2157216 is about 1468.7464042509. The cubic root of 2157216 is about 129.2105209860.

It can be divided in two parts, 2 and 157216, that multiplied together give a cube (314432 = 68³).

The spelling of 2157216 in words is "two million, one hundred fifty-seven thousand, two hundred sixteen".