2778655431006 has 192 divisors, whose sum is σ = 7667475379200. Its totient is φ = 722509139520.

The previous prime is 2778655431001. The next prime is 2778655431029. The reversal of 2778655431006 is 6001345568772.

2778655431006 is a `hidden beast` number, since 2 + 7 + 7 + 86 + 5 + 543 + 10 + 0 + 6 = 666.

2778655431006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2778655431001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5454801 + ... + 5942403.

It is an arithmetic number, because the mean of its divisors is an integer number (39934767600).

Almost surely, 2^{2778655431006} is an apocalyptic number.

2778655431006 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2778655431006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3833737689600).

2778655431006 is an abundant number, since it is smaller than the sum of its proper divisors (4888819948194).

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

2778655431006 is a wasteful number, since it uses less digits than its factorization.

2778655431006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487716 (or 487699 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 2778655431006 in words is "two trillion, seven hundred seventy-eight billion, six hundred fifty-five million, four hundred thirty-one thousand, six".