2007079866 has 96 divisors (see below), whose sum is σ = 4987951488. Its totient is φ = 577336320.

The previous prime is 2007079853. The next prime is 2007079871. The reversal of 2007079866 is 6689707002.

It is a happy 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 47 ways as a sum of consecutive naturals, for example, 622290 + ... + 625506.

It is an arithmetic number, because the mean of its divisors is an integer number (51957828).

Almost surely, 2^2007079866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2007079866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2493975744).

2007079866 is an abundant number, since it is smaller than the sum of its proper divisors (2980871622).

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

2007079866 is a wasteful number, since it uses less digits than its factorization.

2007079866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3396 (or 3393 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 2007079866 is about 44800.4449308263. Note that the first 3 decimals coincide. The cubic root of 2007079866 is about 1261.4059777897.

The spelling of 2007079866 in words is "two billion, seven million, seventy-nine thousand, eight hundred sixty-six".