2002001200 has 120 divisors (see below), whose sum is σ = 4919551200. Its totient is φ = 782745600.

The previous prime is 2002001189. The next prime is 2002001207. The reversal of 2002001200 is 21002002.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2002001207) 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, 4458576 + ... + 4459024.

It is an arithmetic number, because the mean of its divisors is an integer number (40996260).

Almost surely, 2^2002001200 is an apocalyptic number.

2002001200 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 2002001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2459775600).

2002001200 is an abundant number, since it is smaller than the sum of its proper divisors (2917550000).

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

2002001200 is a wasteful number, since it uses less digits than its factorization.

2002001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 2002001200 is about 44743.7280520969. The cubic root of 2002001200 is about 1260.3411354810.

Adding to 2002001200 its reverse (21002002), we get a palindrome (2023003202).

The spelling of 2002001200 in words is "two billion, two million, one thousand, two hundred".