2089160 has 32 divisors (see below), whose sum is σ = 4865400. Its totient is φ = 806400.

The previous prime is 2089151. The next prime is 2089169. The reversal of 2089160 is 619802.

It is an interprime number because it is at equal distance from previous prime (2089151) and next prime (2089169).

It can be written as a sum of positive squares in 4 ways, for example, as 1304164 + 784996 = 1142^2 + 886^2 .

It is not an unprimeable number, because it can be changed into a prime (2089169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 260 + ... + 2060.

2^2089160 is an apocalyptic number.

2089160 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 2089160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2432700).

2089160 is an abundant number, since it is smaller than the sum of its proper divisors (2776240).

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

2089160 is a wasteful number, since it uses less digits than its factorization.

2089160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1841 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 2089160 is about 1445.3926802084. The cubic root of 2089160 is about 127.8371953585.

The spelling of 2089160 in words is "two million, eighty-nine thousand, one hundred sixty".