2002333330000 has 100 divisors (see below), whose sum is σ = 4849025080900. Its totient is φ = 800739072000.

The previous prime is 2002333329989. The next prime is 2002333330021. The reversal of 2002333330000 is 333332002.

It can be written as a sum of positive squares in 10 ways, for example, as 1009735580736 + 992597749264 = 1004856^2 + 996292^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a self number, because there is not a number n which added to its sum of digits gives 2002333330000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45467992 + ... + 45512008.

It is an arithmetic number, because the mean of its divisors is an integer number (48490250809).

Almost surely, 2^{2002333330000} is an apocalyptic number.

2002333330000 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 2002333330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2424512540450).

2002333330000 is an abundant number, since it is smaller than the sum of its proper divisors (2846691750900).

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

2002333330000 is an equidigital number, since it uses as much as digits as its factorization.

2002333330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48594 (or 48573 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 19.

Adding to 2002333330000 its reverse (333332002), we get a palindrome (2002666662002).

The spelling of 2002333330000 in words is "two trillion, two billion, three hundred thirty-three million, three hundred thirty thousand".