2839868064 has 216 divisors, whose sum is σ = 8940728160. Its totient is φ = 854388480.

The previous prime is 2839868047. The next prime is 2839868077. The reversal of 2839868064 is 4608689382.

It is a self number, because there is not a number n which added to its sum of digits gives 2839868064.

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 35 ways as a sum of consecutive naturals, for example, 7910317 + ... + 7910675.

It is an arithmetic number, because the mean of its divisors is an integer number (41392260).

Almost surely, 2^2839868064 is an apocalyptic number.

2839868064 is a gapful number since it is divisible by the number (24) 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 2839868064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4470364080).

2839868064 is an abundant number, since it is smaller than the sum of its proper divisors (6100860096).

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

2839868064 is a wasteful number, since it uses less digits than its factorization.

2839868064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The square root of 2839868064 is about 53290.4124960579. The cubic root of 2839868064 is about 1416.1178203218.

The spelling of 2839868064 in words is "two billion, eight hundred thirty-nine million, eight hundred sixty-eight thousand, sixty-four".