2006971680 has 384 divisors, whose sum is σ = 7664025600. Its totient is φ = 431714304.

The previous prime is 2006971657. The next prime is 2006971727. The reversal of 2006971680 is 861796002.

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 63 ways as a sum of consecutive naturals, for example, 4189681 + ... + 4190159.

It is an arithmetic number, because the mean of its divisors is an integer number (19958400).

Almost surely, 2^2006971680 is an apocalyptic number.

2006971680 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 2006971680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3832012800).

2006971680 is an abundant number, since it is smaller than the sum of its proper divisors (5657053920).

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

2006971680 is a wasteful number, since it uses less digits than its factorization.

2006971680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 2006971680 is about 44799.2374935110. The cubic root of 2006971680 is about 1261.3833132010.

The spelling of 2006971680 in words is "two billion, six million, nine hundred seventy-one thousand, six hundred eighty".