2002018200 has 384 divisors, whose sum is σ = 7852830720. Its totient is φ = 410572800.

The previous prime is 2002018181. The next prime is 2002018217. The reversal of 2002018200 is 28102002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2002018200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2019705 + ... + 2020695.

It is an arithmetic number, because the mean of its divisors is an integer number (20450080).

Almost surely, 2^2002018200 is an apocalyptic number.

2002018200 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 2002018200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3926415360).

2002018200 is an abundant number, since it is smaller than the sum of its proper divisors (5850812520).

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

2002018200 is a wasteful number, since it uses less digits than its factorization.

2002018200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2002018200 is about 44743.9180224531. The cubic root of 2002018200 is about 1260.3447028679.

The spelling of 2002018200 in words is "two billion, two million, eighteen thousand, two hundred".