2006188800 has 864 divisors, whose sum is σ = 8759439360. Its totient is φ = 391987200.

The previous prime is 2006188781. The next prime is 2006188813. The reversal of 2006188800 is 88816002.

It is a super-3 number, since 3×2006188800³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34003171 + ... + 34003229.

It is an arithmetic number, because the mean of its divisors is an integer number (10138240).

Almost surely, 2^2006188800 is an apocalyptic number.

2006188800 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 2006188800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4379719680).

2006188800 is an abundant number, since it is smaller than the sum of its proper divisors (6753250560).

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

2006188800 is a wasteful number, since it uses less digits than its factorization.

2006188800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 2006188800 is about 44790.4989925319. The cubic root of 2006188800 is about 1261.2192783005.

The spelling of 2006188800 in words is "two billion, six million, one hundred eighty-eight thousand, eight hundred".