2805069407328 has 288 divisors, whose sum is σ = 8686776807072. Its totient is φ = 855121920000.

The previous prime is 2805069407317. The next prime is 2805069407333. The reversal of 2805069407328 is 8237049605082.

2805069407328 is a `hidden beast` number, since 2 + 8 + 0 + 506 + 9 + 40 + 73 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50356900 + ... + 50412572.

It is an arithmetic number, because the mean of its divisors is an integer number (30162419469).

Almost surely, 2^{2805069407328} 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 2805069407328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4343388403536).

2805069407328 is an abundant number, since it is smaller than the sum of its proper divisors (5881707399744).

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

2805069407328 is a wasteful number, since it uses less digits than its factorization.

2805069407328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55998 (or 55987 counting only the distinct ones).

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

The spelling of 2805069407328 in words is "two trillion, eight hundred five billion, sixty-nine million, four hundred seven thousand, three hundred twenty-eight".