2006221000 has 256 divisors, whose sum is σ = 5935887360. Its totient is φ = 618393600.

The previous prime is 2006220989. The next prime is 2006221043. The reversal of 2006221000 is 1226002.

It is a happy number.

It is a super-3 number, since 3×2006221000³ (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2736634 + ... + 2737366.

It is an arithmetic number, because the mean of its divisors is an integer number (23187060).

Almost surely, 2^2006221000 is an apocalyptic number.

2006221000 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 2006221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2967943680).

2006221000 is an abundant number, since it is smaller than the sum of its proper divisors (3929666360).

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

2006221000 is a wasteful number, since it uses less digits than its factorization.

2006221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2006221000 is about 44790.8584423206. The cubic root of 2006221000 is about 1261.2260259279.

Adding to 2006221000 its reverse (1226002), we get a palindrome (2007447002).

The spelling of 2006221000 in words is "two billion, six million, two hundred twenty-one thousand".