2089164 has 144 divisors (see below), whose sum is σ = 6894720. Its totient is φ = 483840.

The previous prime is 2089151. The next prime is 2089169. The reversal of 2089164 is 4619802.

2089164 = 182² + 183² + ... + 230².

It is a zygodrome in base 2.

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109947 + ... + 109965.

It is an arithmetic number, because the mean of its divisors is an integer number (47880).

2^2089164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2089164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447360).

2089164 is an abundant number, since it is smaller than the sum of its proper divisors (4805556).

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

2089164 is a wasteful number, since it uses less digits than its factorization.

2089164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 2089164 is about 1445.3940639148. The cubic root of 2089164 is about 127.8372769461.

The spelling of 2089164 in words is "two million, eighty-nine thousand, one hundred sixty-four".