2006839296 has 468 divisors, whose sum is σ = 7429105944. Its totient is φ = 516096000.

The previous prime is 2006839267. The next prime is 2006839301. The reversal of 2006839296 is 6929386002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19869646 + ... + 19869746.

It is an arithmetic number, because the mean of its divisors is an integer number (15874158).

Almost surely, 2^2006839296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2006839296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3714552972).

2006839296 is an abundant number, since it is smaller than the sum of its proper divisors (5422266648).

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

2006839296 is a wasteful number, since it uses less digits than its factorization.

2006839296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 2006839296 is about 44797.7599439972. The cubic root of 2006839296 is about 1261.3555781077.

The spelling of 2006839296 in words is "two billion, six million, eight hundred thirty-nine thousand, two hundred ninety-six".