2002010000 has 50 divisors (see below), whose sum is σ = 4847090622. Its totient is φ = 800800000.

The previous prime is 2002009991. The next prime is 2002010047. The reversal of 2002010000 is 102002.

It can be written as a sum of positive squares in 5 ways, for example, as 1343369104 + 658640896 = 36652^2 + 25664^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 90101 + ... + 110100.

Almost surely, 2^2002010000 is an apocalyptic number.

2002010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002010000 is an abundant number, since it is smaller than the sum of its proper divisors (2845080622).

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

2002010000 is an equidigital number, since it uses as much as digits as its factorization.

2002010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200229 (or 200208 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 2002010000 is about 44743.8263897937. The cubic root of 2002010000 is about 1260.3429821308.

Adding to 2002010000 its reverse (102002), we get a palindrome (2002112002).

The spelling of 2002010000 in words is "two billion, two million, ten thousand".