2006401800 has 288 divisors, whose sum is σ = 6894737280. Its totient is φ = 482227200.

The previous prime is 2006401799. The next prime is 2006401811. The reversal of 2006401800 is 81046002.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4765590 + ... + 4766010.

It is an arithmetic number, because the mean of its divisors is an integer number (23940060).

Almost surely, 2^2006401800 is an apocalyptic number.

2006401800 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 2006401800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447368640).

2006401800 is an abundant number, since it is smaller than the sum of its proper divisors (4888335480).

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

2006401800 is a wasteful number, since it uses less digits than its factorization.

2006401800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2006401800 is about 44792.8766658271. The cubic root of 2006401800 is about 1261.2639118863.

Adding to 2006401800 its reverse (81046002), we get a palindrome (2087447802).

The spelling of 2006401800 in words is "two billion, six million, four hundred one thousand, eight hundred".