2116160 has 56 divisors (see below), whose sum is σ = 5349240. Its totient is φ = 794624.

The previous prime is 2116129. The next prime is 2116183. The reversal of 2116160 is 616112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 222784 + 1893376 = 472^2 + 1376^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5246 + ... + 5634.

2^2116160 is an apocalyptic number.

2116160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2674620).

2116160 is an abundant number, since it is smaller than the sum of its proper divisors (3233080).

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

2116160 is a wasteful number, since it uses less digits than its factorization.

2116160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 2116160 is about 1454.7027187711. The cubic root of 2116160 is about 128.3855562277.

The spelling of 2116160 in words is "two million, one hundred sixteen thousand, one hundred sixty".