2839956304328 has 512 divisors, whose sum is σ = 6742112993280. Its totient is φ = 1103953536000.

The previous prime is 2839956304327. The next prime is 2839956304331. The reversal of 2839956304328 is 8234036599382.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is not an unprimeable number, because it can be changed into a prime (2839956304321) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 22361860601 + ... + 22361860727.

It is an arithmetic number, because the mean of its divisors is an integer number (13168189440).

Almost surely, 2^{2839956304328} 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 2839956304328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3371056496640).

2839956304328 is an abundant number, since it is smaller than the sum of its proper divisors (3902156688952).

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

2839956304328 is a wasteful number, since it uses less digits than its factorization.

2839956304328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 62.

The spelling of 2839956304328 in words is "two trillion, eight hundred thirty-nine billion, nine hundred fifty-six million, three hundred four thousand, three hundred twenty-eight".