2089691136 has 576 divisors, whose sum is σ = 7512523200. Its totient is φ = 573308928.

The previous prime is 2089691113. The next prime is 2089691159. The reversal of 2089691136 is 6311969802.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2089691113) and next prime (2089691159).

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 2089691091 and 2089691100.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 109983735 + ... + 109983753.

It is an arithmetic number, because the mean of its divisors is an integer number (13042575).

Almost surely, 2^2089691136 is an apocalyptic number.

2089691136 is a gapful number since it is divisible by the number (26) 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 2089691136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3756261600).

2089691136 is an abundant number, since it is smaller than the sum of its proper divisors (5422832064).

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

2089691136 is a wasteful number, since it uses less digits than its factorization.

2089691136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 2089691136 is about 45713.1396427767. The cubic root of 2089691136 is about 1278.4802797117.

The spelling of 2089691136 in words is "two billion, eighty-nine million, six hundred ninety-one thousand, one hundred thirty-six".