2806080800 has 36 divisors (see below), whose sum is σ = 6850346706. Its totient is φ = 1122432000.

The previous prime is 2806080773. The next prime is 2806080839. The reversal of 2806080800 is 80806082.

It can be written as a sum of positive squares in 3 ways, for example, as 2437594384 + 368486416 = 49372^2 + 19196^2 .

It is a super-2 number, since 2×2806080800² = 15748178912257280000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1753001 + ... + 1754600.

Almost surely, 2^2806080800 is an apocalyptic number.

2806080800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2806080800 is an abundant number, since it is smaller than the sum of its proper divisors (4044265906).

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

2806080800 is a wasteful number, since it uses less digits than its factorization.

2806080800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3507621 (or 3507608 counting only the distinct ones).

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

The square root of 2806080800 is about 52972.4532186305. The cubic root of 2806080800 is about 1410.4793233144.

Adding to 2806080800 its reverse (80806082), we get a palindrome (2886886882).

The spelling of 2806080800 in words is "two billion, eight hundred six million, eighty thousand, eight hundred".