2806845440 has 156 divisors (see below), whose sum is σ = 7838098956. Its totient is φ = 962002944.

The previous prime is 2806845439. The next prime is 2806845463. The reversal of 2806845440 is 445486082.

It can be written as a sum of positive squares in 2 ways, for example, as 1554251776 + 1252593664 = 39424^2 + 35392^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1002122 + ... + 1004918.

Almost surely, 2^2806845440 is an apocalyptic number.

2806845440 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 2806845440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3919049478).

2806845440 is an abundant number, since it is smaller than the sum of its proper divisors (5031253516).

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

2806845440 is an equidigital number, since it uses as much as digits as its factorization.

2806845440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2840 (or 2811 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 41.

The square root of 2806845440 is about 52979.6700631478. The cubic root of 2806845440 is about 1410.6074273664.

The spelling of 2806845440 in words is "two billion, eight hundred six million, eight hundred forty-five thousand, four hundred forty".