2000330332 has 288 divisors, whose sum is σ = 5212408320. Its totient is φ = 658183680.

The previous prime is 2000330281. The next prime is 2000330333. The reversal of 2000330332 is 2330330002.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000330333) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 18694623 + ... + 18694729.

It is an arithmetic number, because the mean of its divisors is an integer number (18098640).

Almost surely, 2^2000330332 is an apocalyptic number.

2000330332 is a gapful number since it is divisible by the number (22) 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 2000330332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2606204160).

2000330332 is an abundant number, since it is smaller than the sum of its proper divisors (3212077988).

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

2000330332 is a wasteful number, since it uses less digits than its factorization.

2000330332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 16.

The square root of 2000330332 is about 44725.0526215453. The cubic root of 2000330332 is about 1259.9904114497.

Adding to 2000330332 its reverse (2330330002), we get a palindrome (4330660334).

The spelling of 2000330332 in words is "two billion, three hundred thirty thousand, three hundred thirty-two".