2806080800000 has 108 divisors (see below), whose sum is σ = 7001054333532. Its totient is φ = 1122432000000.

The previous prime is 2806080799997. The next prime is 2806080800027. The reversal of 2806080800000 is 80806082.

It can be written as a sum of positive squares in 6 ways, for example, as 1925966635264 + 880114164736 = 1387792^2 + 938144^2 .

It is a super-2 number, since 2×2806080800000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2806080800000.

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 11 ways as a sum of consecutive naturals, for example, 953801 + ... + 2553800.

Almost surely, 2^{2806080800000} is an apocalyptic number.

2806080800000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2806080800000 is an abundant number, since it is smaller than the sum of its proper divisors (4194973533532).

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

2806080800000 is an frugal number, since it uses more digits than its factorization.

2806080800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3507642 (or 3507608 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The spelling of 2806080800000 in words is "two trillion, eight hundred six billion, eighty million, eight hundred thousand".