2000084832 has 96 divisors (see below), whose sum is σ = 5867739360. Its totient is φ = 662791680.

The previous prime is 2000084819. The next prime is 2000084857. The reversal of 2000084832 is 2384800002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2000084796 and 2000084805.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142782 + ... + 156162.

It is an arithmetic number, because the mean of its divisors is an integer number (61122285).

Almost surely, 2^2000084832 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 2000084832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2933869680).

2000084832 is an abundant number, since it is smaller than the sum of its proper divisors (3867654528).

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

2000084832 is a wasteful number, since it uses less digits than its factorization.

2000084832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13573 (or 13559 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2000084832 is about 44722.3079905320. The cubic root of 2000084832 is about 1259.9388632468.

Adding to 2000084832 its reverse (2384800002), we get a palindrome (4384884834).

The spelling of 2000084832 in words is "two billion, eighty-four thousand, eight hundred thirty-two".