2002012000 has 192 divisors, whose sum is σ = 5253341184. Its totient is φ = 748070400.

The previous prime is 2002011959. The next prime is 2002012027. The reversal of 2002012000 is 2102002.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4323769 + ... + 4324231.

It is an arithmetic number, because the mean of its divisors is an integer number (27361152).

Almost surely, 2^2002012000 is an apocalyptic number.

2002012000 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 2002012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2626670592).

2002012000 is an abundant number, since it is smaller than the sum of its proper divisors (3251329184).

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

2002012000 is a wasteful number, since it uses less digits than its factorization.

2002012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 540 counting only the distinct ones).

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

The square root of 2002012000 is about 44743.8487392401. The cubic root of 2002012000 is about 1260.3434018232.

Adding to 2002012000 its reverse (2102002), we get a palindrome (2004114002).

The spelling of 2002012000 in words is "two billion, two million, twelve thousand".