2806853280 has 576 divisors, whose sum is σ = 11831339520. Its totient is φ = 551577600.

The previous prime is 2806853279. The next prime is 2806853303. The reversal of 2806853280 is 823586082.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4915395 + ... + 4915965.

It is an arithmetic number, because the mean of its divisors is an integer number (20540520).

Almost surely, 2^2806853280 is an apocalyptic number.

2806853280 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 2806853280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5915669760).

2806853280 is an abundant number, since it is smaller than the sum of its proper divisors (9024486240).

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

2806853280 is a wasteful number, since it uses less digits than its factorization.

2806853280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 2806853280 is about 52979.7440537419. The cubic root of 2806853280 is about 1410.6087407212.

It can be divided in two parts, 2806 and 853280, that added together give a triangular number (856086 = T₁₃₀₈).

The spelling of 2806853280 in words is "two billion, eight hundred six million, eight hundred fifty-three thousand, two hundred eighty".