2806272000000 has 1792 divisors, whose sum is σ = 12287655216000. Its totient is φ = 619315200000.

The previous prime is 2806271999903. The next prime is 2806272000073. The reversal of 2806272000000 is 2726082.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 96767999986 + ... + 96768000014.

Almost surely, 2^{2806272000000} is an apocalyptic number.

2806272000000 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 2806272000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6143827608000).

2806272000000 is an abundant number, since it is smaller than the sum of its proper divisors (9481383216000).

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

2806272000000 is an frugal number, since it uses more digits than its factorization.

2806272000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 2806272000000 its reverse (2726082), we get a palindrome (2806274726082).

The spelling of 2806272000000 in words is "two trillion, eight hundred six billion, two hundred seventy-two million", and thus it is an aban number.