2142160 has 20 divisors (see below), whose sum is σ = 4980708. Its totient is φ = 856832.

The previous prime is 2142149. The next prime is 2142163. The reversal of 2142160 is 612412.

It can be written as a sum of positive squares in 2 ways, for example, as 524176 + 1617984 = 724^2 + 1272^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142163) 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, 13309 + ... + 13468.

2^2142160 is an apocalyptic number.

2142160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142160 is an abundant number, since it is smaller than the sum of its proper divisors (2838548).

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

2142160 is a wasteful number, since it uses less digits than its factorization.

2142160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26790 (or 26784 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2142160 is about 1463.6119704348. The cubic root of 2142160 is about 128.9092164178.

Adding to 2142160 its reverse (612412), we get a palindrome (2754572).

The spelling of 2142160 in words is "two million, one hundred forty-two thousand, one hundred sixty".