2684971008 has 288 divisors, whose sum is σ = 8285921280. Its totient is φ = 836075520.

The previous prime is 2684970989. The next prime is 2684971019. The reversal of 2684971008 is 8001794862.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21141441 + ... + 21141567.

It is an arithmetic number, because the mean of its divisors is an integer number (28770560).

Almost surely, 2^2684971008 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 2684971008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4142960640).

2684971008 is an abundant number, since it is smaller than the sum of its proper divisors (5600950272).

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

2684971008 is a wasteful number, since it uses less digits than its factorization.

2684971008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 2684971008 is about 51816.7058775449. The cubic root of 2684971008 is about 1389.8881969320. Note that the first 3 decimals are identical.

The spelling of 2684971008 in words is "two billion, six hundred eighty-four million, nine hundred seventy-one thousand, eight".