2806311040 has 128 divisors (see below), whose sum is σ = 7650281520. Its totient is φ = 975175680.

The previous prime is 2806311019. The next prime is 2806311049. The reversal of 2806311040 is 401136082.

It can be written as a sum of positive squares in 8 ways, for example, as 276623424 + 2529687616 = 16632^2 + 50296^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 2806310996 and 2806311014.

It is not an unprimeable number, because it can be changed into a prime (2806311049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131520 + ... + 151360.

Almost surely, 2^2806311040 is an apocalyptic number.

2806311040 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 2806311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3825140760).

2806311040 is an abundant number, since it is smaller than the sum of its proper divisors (4843970480).

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

2806311040 is a wasteful number, since it uses less digits than its factorization.

2806311040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19890 (or 19878 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 2806311040 is about 52974.6263790506. The cubic root of 2806311040 is about 1410.5178990482.

The spelling of 2806311040 in words is "two billion, eight hundred six million, three hundred eleven thousand, forty".