2012160 has 88 divisors (see below), whose sum is σ = 6484896. Its totient is φ = 532480.

The previous prime is 2012159. The next prime is 2012161. The reversal of 2012160 is 612102.

It is an interprime number because it is at equal distance from previous prime (2012159) and next prime (2012161).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15295 + ... + 15425.

It is an arithmetic number, because the mean of its divisors is an integer number (73692).

2^2012160 is an apocalyptic number.

2012160 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 2012160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3242448).

2012160 is an abundant number, since it is smaller than the sum of its proper divisors (4472736).

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

2012160 is a wasteful number, since it uses less digits than its factorization.

2012160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2012160 is about 1418.5062565953. The cubic root of 2012160 is about 126.2469332327.

Adding to 2012160 its reverse (612102), we get a palindrome (2624262).

The spelling of 2012160 in words is "two million, twelve thousand, one hundred sixty".