2137216 has 32 divisors (see below), whose sum is σ = 4345200. Its totient is φ = 1046784.

The previous prime is 2137211. The next prime is 2137237. The reversal of 2137216 is 6127312.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (2137211) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7411 + ... + 7693.

2^2137216 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 2137216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2172600).

2137216 is an abundant number, since it is smaller than the sum of its proper divisors (2207984).

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

2137216 is an equidigital number, since it uses as much as digits as its factorization.

2137216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 344 counting only the distinct ones).

The product of its digits is 504, while the sum is 22.

The square root of 2137216 is about 1461.9220225443. The cubic root of 2137216 is about 128.8099679798.

The spelling of 2137216 in words is "two million, one hundred thirty-seven thousand, two hundred sixteen".