2006956411200 has 1008 divisors, whose sum is σ = 8438133674880. Its totient is φ = 447652085760.

The previous prime is 2006956411193. The next prime is 2006956411261. The reversal of 2006956411200 is 21146596002.

2006956411200 is a `hidden beast` number, since 2 + 0 + 0 + 6 + 9 + 5 + 641 + 1 + 2 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 81794134 + ... + 81818666.

It is an arithmetic number, because the mean of its divisors is an integer number (8371164360).

Almost surely, 2^{2006956411200} is an apocalyptic number.

2006956411200 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 2006956411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4219066837440).

2006956411200 is an abundant number, since it is smaller than the sum of its proper divisors (6431177263680).

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

2006956411200 is a wasteful number, since it uses less digits than its factorization.

2006956411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24616 (or 24598 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 2006956411200 in words is "two trillion, six billion, nine hundred fifty-six million, four hundred eleven thousand, two hundred".