2813234905728 has 576 divisors, whose sum is σ = 9202278758400. Its totient is φ = 819667537920.

The previous prime is 2813234905717. The next prime is 2813234905751. The reversal of 2813234905728 is 8275094323182.

2813234905728 is a `hidden beast` number, since 2 + 8 + 1 + 3 + 23 + 49 + 0 + 572 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 676418913 + ... + 676423071.

It is an arithmetic number, because the mean of its divisors is an integer number (15976178400).

Almost surely, 2^{2813234905728} 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 2813234905728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4601139379200).

2813234905728 is an abundant number, since it is smaller than the sum of its proper divisors (6389043852672).

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

2813234905728 is a wasteful number, since it uses less digits than its factorization.

2813234905728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4301 (or 4255 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 2813234905728 in words is "two trillion, eight hundred thirteen billion, two hundred thirty-four million, nine hundred five thousand, seven hundred twenty-eight".