2806126480 has 20 divisors (see below), whose sum is σ = 6524244252. Its totient is φ = 1122450560.

The previous prime is 2806126459. The next prime is 2806126481. The reversal of 2806126480 is 846216082.

It can be written as a sum of positive squares in 2 ways, for example, as 666878976 + 2139247504 = 25824^2 + 46252^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (2806126481) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 17538211 + ... + 17538370.

Almost surely, 2^2806126480 is an apocalyptic number.

2806126480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2806126480 is an abundant number, since it is smaller than the sum of its proper divisors (3718117772).

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

2806126480 is a wasteful number, since it uses less digits than its factorization.

2806126480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35076594 (or 35076588 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 2806126480 is about 52972.8843843716. The cubic root of 2806126480 is about 1410.4869769721.

It can be divided in two parts, 2806 and 126480, that added together give a triangular number (129286 = T₅₀₈).

The spelling of 2806126480 in words is "two billion, eight hundred six million, one hundred twenty-six thousand, four hundred eighty".