2097160 has 64 divisors (see below), whose sum is σ = 5266800. Its totient is φ = 746496.

The previous prime is 2097143. The next prime is 2097169. The reversal of 2097160 is 617902.

It can be written as a sum of positive squares in 8 ways, for example, as 1179396 + 917764 = 1086^2 + 958^2 .

It is not an unprimeable number, because it can be changed into a prime (2097169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19186 + ... + 19294.

2^2097160 is an apocalyptic number.

2097160 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 2097160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2633400).

2097160 is an abundant number, since it is smaller than the sum of its proper divisors (3169640).

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

2097160 is a wasteful number, since it uses less digits than its factorization.

2097160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 2097160 is about 1448.1574500033. The cubic root of 2097160 is about 128.0001627602. Note that the first 3 decimals are identical.

The spelling of 2097160 in words is "two million, ninety-seven thousand, one hundred sixty".