2089360 has 120 divisors (see below), whose sum is σ = 6233976. Its totient is φ = 645120.

The previous prime is 2089357. The next prime is 2089361. The reversal of 2089360 is 639802.

2089360 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 50176 + 2039184 = 224^2 + 1428^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (2089361) 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 23 ways as a sum of consecutive naturals, for example, 50940 + ... + 50980.

2^2089360 is an apocalyptic number.

2089360 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 2089360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3116988).

2089360 is an abundant number, since it is smaller than the sum of its proper divisors (4144616).

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

2089360 is a wasteful number, since it uses less digits than its factorization.

2089360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 2089360 is about 1445.4618639037. The cubic root of 2089360 is about 127.8412746094.

The spelling of 2089360 in words is "two million, eighty-nine thousand, three hundred sixty".