2778818784 has 192 divisors, whose sum is σ = 8760213504. Its totient is φ = 754085376.

The previous prime is 2778818743. The next prime is 2778818797. The reversal of 2778818784 is 4878188772.

It is a super-2 number, since 2×2778818784² = 15443667668622477312, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2518777 + ... + 2519879.

It is an arithmetic number, because the mean of its divisors is an integer number (45626112).

Almost surely, 2^2778818784 is an apocalyptic number.

2778818784 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 2778818784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4380106752).

2778818784 is an abundant number, since it is smaller than the sum of its proper divisors (5981394720).

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

2778818784 is a wasteful number, since it uses less digits than its factorization.

2778818784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1301 counting only the distinct ones).

The product of its digits is 11239424, while the sum is 60.

The square root of 2778818784 is about 52714.5025965341. The cubic root of 2778818784 is about 1405.8966906348.

The spelling of 2778818784 in words is "two billion, seven hundred seventy-eight million, eight hundred eighteen thousand, seven hundred eighty-four".