2778306144768 has 1600 divisors, whose sum is σ = 10818416505600. Its totient is φ = 688886415360.

The previous prime is 2778306144767. The next prime is 2778306144793. The reversal of 2778306144768 is 8674416038772.

2778306144768 is a `hidden beast` number, since 2 + 7 + 7 + 8 + 3 + 0 + 614 + 4 + 7 + 6 + 8 = 666.

2778306144768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2778306144767) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 52420870630 + ... + 52420870682.

It is an arithmetic number, because the mean of its divisors is an integer number (6761510316).

Almost surely, 2^{2778306144768} is an apocalyptic number.

2778306144768 is a gapful number since it is divisible by the number (28) 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 2778306144768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5409208252800).

2778306144768 is an abundant number, since it is smaller than the sum of its proper divisors (8040110360832).

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

2778306144768 is an frugal number, since it uses more digits than its factorization.

2778306144768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 63.

The spelling of 2778306144768 in words is "two trillion, seven hundred seventy-eight billion, three hundred six million, one hundred forty-four thousand, seven hundred sixty-eight".