2000330032 has 40 divisors (see below), whose sum is σ = 4094212160. Its totient is φ = 944136000.

The previous prime is 2000330027. The next prime is 2000330039. The reversal of 2000330032 is 2300330002.

It is a super-2 number, since 2×2000330032² = 8002640473842242048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2000329994 and 2000330021.

It is not an unprimeable number, because it can be changed into a prime (2000330039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74407 + ... + 97657.

It is an arithmetic number, because the mean of its divisors is an integer number (102355304).

Almost surely, 2^2000330032 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 2000330032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047106080).

2000330032 is an abundant number, since it is smaller than the sum of its proper divisors (2093882128).

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

2000330032 is a wasteful number, since it uses less digits than its factorization.

2000330032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23561 (or 23555 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 13.

The square root of 2000330032 is about 44725.0492677202. The cubic root of 2000330032 is about 1259.9903484605.

Adding to 2000330032 its reverse (2300330002), we get a palindrome (4300660034).

The spelling of 2000330032 in words is "two billion, three hundred thirty thousand, thirty-two".