2001033000 has 96 divisors (see below), whose sum is σ = 6763521960. Its totient is φ = 533606400.

The previous prime is 2001032989. The next prime is 2001033007. The reversal of 2001033000 is 3301002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 742344516 + 1258688484 = 27246^2 + 35478^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2001033007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102169 + ... + 120168.

Almost surely, 2^2001033000 is an apocalyptic number.

2001033000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001033000 is an abundant number, since it is smaller than the sum of its proper divisors (4762488960).

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

2001033000 is a wasteful number, since it uses less digits than its factorization.

2001033000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222364 (or 222347 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 2001033000 is about 44732.9073501824. The cubic root of 2001033000 is about 1260.1379289672.

Adding to 2001033000 its reverse (3301002), we get a palindrome (2004334002).

The spelling of 2001033000 in words is "two billion, one million, thirty-three thousand".