2042160 has 80 divisors (see below), whose sum is σ = 6475776. Its totient is φ = 532224.

The previous prime is 2042153. The next prime is 2042171. The reversal of 2042160 is 612402.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16017 + ... + 16143.

2^2042160 is an apocalyptic number.

2042160 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 2042160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3237888).

2042160 is an abundant number, since it is smaller than the sum of its proper divisors (4433616).

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

2042160 is a wasteful number, since it uses less digits than its factorization.

2042160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2042160 is about 1429.0416369022. The cubic root of 2042160 is about 126.8712606176.

Adding to 2042160 its reverse (612402), we get a palindrome (2654562).

The spelling of 2042160 in words is "two million, forty-two thousand, one hundred sixty".