2001333000 has 256 divisors, whose sum is σ = 6538371840. Its totient is φ = 509184000.

The previous prime is 2001332987. The next prime is 2001333031. The reversal of 2001333000 is 3331002.

It is a happy number.

2001333000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6518847 + ... + 6519153.

It is an arithmetic number, because the mean of its divisors is an integer number (25540515).

Almost surely, 2^2001333000 is an apocalyptic number.

2001333000 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 2001333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3269185920).

2001333000 is an abundant number, since it is smaller than the sum of its proper divisors (4537038840).

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

2001333000 is a wasteful number, since it uses less digits than its factorization.

2001333000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 2001333000 is about 44736.2604606152. The cubic root of 2001333000 is about 1260.2009001906.

Adding to 2001333000 its reverse (3331002), we get a palindrome (2004664002).

The spelling of 2001333000 in words is "two billion, one million, three hundred thirty-three thousand".