2089665600 has 336 divisors, whose sum is σ = 7876519680. Its totient is φ = 479692800.

The previous prime is 2089665569. The next prime is 2089665601. The reversal of 2089665600 is 65669802.

It is not an unprimeable number, because it can be changed into a prime (2089665601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1002159 + ... + 1004241.

Almost surely, 2^2089665600 is an apocalyptic number.

2089665600 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 2089665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3938259840).

2089665600 is an abundant number, since it is smaller than the sum of its proper divisors (5786854080).

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

2089665600 is a wasteful number, since it uses less digits than its factorization.

2089665600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 2089665600 is about 45712.8603349211. The cubic root of 2089665600 is about 1278.4750720194.

The spelling of 2089665600 in words is "two billion, eighty-nine million, six hundred sixty-five thousand, six hundred".