2002000208 has 80 divisors (see below), whose sum is σ = 4437007680. Its totient is φ = 867428352.

The previous prime is 2002000199. The next prime is 2002000219. The reversal of 2002000208 is 8020002002.

It is a junction number, because it is equal to n+sod(n) for n = 2002000192 and 2002000201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444335 + ... + 448817.

It is an arithmetic number, because the mean of its divisors is an integer number (55462596).

Almost surely, 2^2002000208 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 2002000208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2218503840).

2002000208 is an abundant number, since it is smaller than the sum of its proper divisors (2435007472).

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

2002000208 is a wasteful number, since it uses less digits than its factorization.

2002000208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4636 (or 4630 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2002000208 is about 44743.7169667429. The cubic root of 2002000208 is about 1260.3409273128.

The spelling of 2002000208 in words is "two billion, two million, two hundred eight", and thus it is an aban number.