2006133696 has 672 divisors, whose sum is σ = 7644384000. Its totient is φ = 512096256.

The previous prime is 2006133643. The next prime is 2006133707. The reversal of 2006133696 is 6963316002.

2006133696 is a `hidden beast` number, since 2 + 0 + 0 + 613 + 36 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2006133696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46654251 + ... + 46654293.

Almost surely, 2^2006133696 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 2006133696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3822192000).

2006133696 is an abundant number, since it is smaller than the sum of its proper divisors (5638250304).

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

2006133696 is a wasteful number, since it uses less digits than its factorization.

2006133696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 2006133696 is about 44789.8838578534. The cubic root of 2006133696 is about 1261.2077308889.

Adding to 2006133696 its reverse (6963316002), we get a palindrome (8969449698).

The spelling of 2006133696 in words is "two billion, six million, one hundred thirty-three thousand, six hundred ninety-six".