2137160 has 48 divisors (see below), whose sum is σ = 5076540. Its totient is φ = 809600.

The previous prime is 2137159. The next prime is 2137193. The reversal of 2137160 is 617312.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2033476 + 103684 = 1426^2 + 322^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21110 + ... + 21210.

2^2137160 is an apocalyptic number.

2137160 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 2137160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2538270).

2137160 is an abundant number, since it is smaller than the sum of its proper divisors (2939380).

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

2137160 is a wasteful number, since it uses less digits than its factorization.

2137160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 2137160 is about 1461.9028695505. The cubic root of 2137160 is about 128.8088429303.

The spelling of 2137160 in words is "two million, one hundred thirty-seven thousand, one hundred sixty".