2001032000 has 112 divisors (see below), whose sum is σ = 5406298560. Its totient is φ = 727616000.

The previous prime is 2001031859. The next prime is 2001032009. The reversal of 2001032000 is 2301002.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001032009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76631 + ... + 99369.

Almost surely, 2^2001032000 is an apocalyptic number.

2001032000 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 2001032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2703149280).

2001032000 is an abundant number, since it is smaller than the sum of its proper divisors (3405266560).

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

2001032000 is a wasteful number, since it uses less digits than its factorization.

2001032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22777 (or 22757 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 2001032000 is about 44732.8961727273. The cubic root of 2001032000 is about 1260.1377190526.

Adding to 2001032000 its reverse (2301002), we get a palindrome (2003333002).

The spelling of 2001032000 in words is "two billion, one million, thirty-two thousand".