2778774304 has 72 divisors (see below), whose sum is σ = 5838274260. Its totient is φ = 1301630976.

The previous prime is 2778774283. The next prime is 2778774307. The reversal of 2778774304 is 4034778772.

It can be written as a sum of positive squares in 6 ways, for example, as 712890000 + 2065884304 = 26700^2 + 45452^2 .

It is not an unprimeable number, because it can be changed into a prime (2778774307) 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 11 ways as a sum of consecutive naturals, for example, 2487154 + ... + 2488270.

Almost surely, 2^2778774304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2778774304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2919137130).

2778774304 is an abundant number, since it is smaller than the sum of its proper divisors (3059499956).

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

2778774304 is a wasteful number, since it uses less digits than its factorization.

2778774304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 1843968, while the sum is 49.

The square root of 2778774304 is about 52714.0806995626. The cubic root of 2778774304 is about 1405.8891892918.

The spelling of 2778774304 in words is "two billion, seven hundred seventy-eight million, seven hundred seventy-four thousand, three hundred four".