2002011200 has 168 divisors, whose sum is σ = 5762256192. Its totient is φ = 670279680.

The previous prime is 2002011199. The next prime is 2002011223. The reversal of 2002011200 is 21102002.

2002011200 is digitally balanced in base 6, 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 (8).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 479522 + ... + 483678.

It is an arithmetic number, because the mean of its divisors is an integer number (34299144).

Almost surely, 2^2002011200 is an apocalyptic number.

2002011200 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 2002011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2881128096).

2002011200 is an abundant number, since it is smaller than the sum of its proper divisors (3760244992).

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

2002011200 is a wasteful number, since it uses less digits than its factorization.

2002011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4229 (or 4214 counting only the distinct ones).

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

The square root of 2002011200 is about 44743.8397994629. The cubic root of 2002011200 is about 1260.3432339463.

Adding to 2002011200 its reverse (21102002), we get a palindrome (2023113202).

The spelling of 2002011200 in words is "two billion, two million, eleven thousand, two hundred".