2839429213128 has 24 divisors (see below), whose sum is σ = 7690120785750. Its totient is φ = 946476404352.

The previous prime is 2839429213079. The next prime is 2839429213139. The reversal of 2839429213128 is 8213129249382.

2839429213128 is a `hidden beast` number, since 2 + 8 + 39 + 4 + 292 + 1 + 312 + 8 = 666.

2839429213128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2839420463364 + 8749764 = 1685058^2 + 2958^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19718258353 + ... + 19718258496.

Almost surely, 2^{2839429213128} is an apocalyptic number.

It is an amenable number.

2839429213128 is an abundant number, since it is smaller than the sum of its proper divisors (4850691572622).

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

2839429213128 is a wasteful number, since it uses less digits than its factorization.

2839429213128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39436516861 (or 39436516854 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 2839429213128 in words is "two trillion, eight hundred thirty-nine billion, four hundred twenty-nine million, two hundred thirteen thousand, one hundred twenty-eight".