2089136 has 40 divisors (see below), whose sum is σ = 4833024. Its totient is φ = 855360.

The previous prime is 2089123. The next prime is 2089141. The reversal of 2089136 is 6319802.

2089136 = 24² + 25² + ... + 184².

It is a junction number, because it is equal to n+sod(n) for n = 2089099 and 2089108.

It is an unprimeable number.

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, 2171 + ... + 2981.

2^2089136 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 2089136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2416512).

2089136 is an abundant number, since it is smaller than the sum of its proper divisors (2743888).

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

2089136 is a wasteful number, since it uses less digits than its factorization.

2089136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 2089136 is about 1445.3843779424. The cubic root of 2089136 is about 127.8367058309.

The spelling of 2089136 in words is "two million, eighty-nine thousand, one hundred thirty-six".