2806078464 has 352 divisors, whose sum is σ = 9668390400. Its totient is φ = 797257728.

The previous prime is 2806078447. The next prime is 2806078469. The reversal of 2806078464 is 4648706082.

It is a super-2 number, since 2×2806078464² = 15748152692249198592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2806078469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15676327 + ... + 15676505.

Almost surely, 2^2806078464 is an apocalyptic number.

2806078464 is a gapful number since it is divisible by the number (24) 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 2806078464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4834195200).

2806078464 is an abundant number, since it is smaller than the sum of its proper divisors (6862311936).

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

2806078464 is an frugal number, since it uses more digits than its factorization.

2806078464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 2806078464 is about 52972.4311694300. The cubic root of 2806078464 is about 1410.4789319167.

The spelling of 2806078464 in words is "two billion, eight hundred six million, seventy-eight thousand, four hundred sixty-four".