2009678976 has 96 divisors (see below), whose sum is σ = 5939485500. Its totient is φ = 651773952.

The previous prime is 2009678941. The next prime is 2009678989. The reversal of 2009678976 is 6798769002.

It can be written as a sum of positive squares in 2 ways, for example, as 1969229376 + 40449600 = 44376^2 + 6360^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19050 + ... + 66198.

Almost surely, 2^2009678976 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 2009678976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2969742750).

2009678976 is an abundant number, since it is smaller than the sum of its proper divisors (3929806524).

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

2009678976 is a wasteful number, since it uses less digits than its factorization.

2009678976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47206 (or 47191 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 2009678976 is about 44829.4431819089. The cubic root of 2009678976 is about 1261.9502375975.

The spelling of 2009678976 in words is "two billion, nine million, six hundred seventy-eight thousand, nine hundred seventy-six".