2819639842096 has 160 divisors (see below), whose sum is σ = 6834116160000. Its totient is φ = 1094850570240.

The previous prime is 2819639842067. The next prime is 2819639842133. The reversal of 2819639842096 is 6902489369182.

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 31 ways as a sum of consecutive naturals, for example, 755326246 + ... + 755329978.

It is an arithmetic number, because the mean of its divisors is an integer number (42713226000).

Almost surely, 2^{2819639842096} 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 2819639842096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3417058080000).

2819639842096 is an abundant number, since it is smaller than the sum of its proper divisors (4014476317904).

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

2819639842096 is a wasteful number, since it uses less digits than its factorization.

2819639842096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5667 (or 5661 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 67.

The spelling of 2819639842096 in words is "two trillion, eight hundred nineteen billion, six hundred thirty-nine million, eight hundred forty-two thousand, ninety-six".