2805020824320 has 2880 divisors, whose sum is σ = 12923846369280. Its totient is φ = 570123878400.

The previous prime is 2805020824313. The next prime is 2805020824321. The reversal of 2805020824320 is 234280205082.

2805020824320 is a `hidden beast` number, since 2 + 80 + 50 + 20 + 82 + 432 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2805020824321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 7813428301 + ... + 7813428659.

It is an arithmetic number, because the mean of its divisors is an integer number (4487446656).

Almost surely, 2^{2805020824320} is an apocalyptic number.

2805020824320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2805020824320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6461923184640).

2805020824320 is an abundant number, since it is smaller than the sum of its proper divisors (10118825544960).

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

2805020824320 is a wasteful number, since it uses less digits than its factorization.

2805020824320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 2805020824320 in words is "two trillion, eight hundred five billion, twenty million, eight hundred twenty-four thousand, three hundred twenty".