2001333330 has 96 divisors (see below), whose sum is σ = 5658619824. Its totient is φ = 488706048.

The previous prime is 2001333329. The next prime is 2001333343. The reversal of 2001333330 is 333331002.

2001333330 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 333 + 330 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1979627049 + 21706281 = 44493^2 + 4659^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 38934 + ... + 74286.

Almost surely, 2^2001333330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001333330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2829309912).

2001333330 is an abundant number, since it is smaller than the sum of its proper divisors (3657286494).

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

2001333330 is a wasteful number, since it uses less digits than its factorization.

2001333330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35420 (or 35417 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 2001333330 is about 44736.2641488983. The cubic root of 2001333330 is about 1260.2009694555.

Adding to 2001333330 its reverse (333331002), we get a palindrome (2334664332).

The spelling of 2001333330 in words is "two billion, one million, three hundred thirty-three thousand, three hundred thirty".