10002000208 has 80 divisors (see below), whose sum is σ = 20555239936. Its totient is φ = 4707279360.

The previous prime is 10002000191. The next prime is 10002000209. The reversal of 10002000208 is 80200020001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002000209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5907010 + ... + 5908702.

Almost surely, 2^10002000208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10002000208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10277619968).

10002000208 is an abundant number, since it is smaller than the sum of its proper divisors (10553239728).

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

10002000208 is a wasteful number, since it uses less digits than its factorization.

10002000208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10002000208 its reverse (80200020001), we get a palindrome (90202020209).

The spelling of 10002000208 in words is "ten billion, two million, two hundred eight", and thus it is an aban number.