2002000032000 has 432 divisors, whose sum is σ = 7212206252160. Its totient is φ = 533242368000.

The previous prime is 2002000031989. The next prime is 2002000032007. The reversal of 2002000032000 is 2300002002.

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 (2002000032007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 279644421 + ... + 279651579.

It is an arithmetic number, because the mean of its divisors is an integer number (16694921880).

Almost surely, 2^{2002000032000} is an apocalyptic number.

2002000032000 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 2002000032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3606103126080).

2002000032000 is an abundant number, since it is smaller than the sum of its proper divisors (5210206220160).

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

2002000032000 is an equidigital number, since it uses as much as digits as its factorization.

2002000032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8167 (or 8140 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

Adding to 2002000032000 its reverse (2300002002), we get a palindrome (2004300034002).

The spelling of 2002000032000 in words is "two trillion, two billion, thirty-two thousand", and thus it is an eban number.