2806034971320 has 512 divisors, whose sum is σ = 10958598604800. Its totient is φ = 625298558976.

The previous prime is 2806034971307. The next prime is 2806034971349. The reversal of 2806034971320 is 231794306082.

2806034971320 is a `hidden beast` number, since 2 + 8 + 0 + 603 + 4 + 9 + 7 + 1 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 181061812 + ... + 181077308.

It is an arithmetic number, because the mean of its divisors is an integer number (21403512900).

Almost surely, 2^{2806034971320} is an apocalyptic number.

2806034971320 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 2806034971320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5479299302400).

2806034971320 is an abundant number, since it is smaller than the sum of its proper divisors (8152563633480).

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

2806034971320 is a wasteful number, since it uses less digits than its factorization.

2806034971320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16124 (or 16114 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 2806034971320 in words is "two trillion, eight hundred six billion, thirty-four million, nine hundred seventy-one thousand, three hundred twenty".