2006000000 has 224 divisors, whose sum is σ = 5378837400. Its totient is φ = 742400000.

The previous prime is 2005999973. The next prime is 2006000011. The reversal of 2006000000 is 6002.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 33999971 + ... + 34000029.

Almost surely, 2^2006000000 is an apocalyptic number.

2006000000 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 2006000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2689418700).

2006000000 is an abundant number, since it is smaller than the sum of its proper divisors (3372837400).

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

2006000000 is an frugal number, since it uses more digits than its factorization.

2006000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 2006000000 is about 44788.3913531174. The cubic root of 2006000000 is about 1261.1797131194.

Adding to 2006000000 its reverse (6002), we get a palindrome (2006006002).

The spelling of 2006000000 in words is "two billion, six million", and thus it is an aban number, an eban number, and an uban number.