2678927978592 has 288 divisors, whose sum is σ = 8305027174080. Its totient is φ = 816526233600.

The previous prime is 2678927978567. The next prime is 2678927978711. The reversal of 2678927978592 is 2958797298762.

2678927978592 is a `hidden beast` number, since 267 + 8 + 9 + 279 + 7 + 85 + 9 + 2 = 666.

2678927978592 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2678927978592² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19332658 + ... + 19470734.

It is an arithmetic number, because the mean of its divisors is an integer number (28836899910).

Almost surely, 2^{2678927978592} 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 2678927978592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4152513587040).

2678927978592 is an abundant number, since it is smaller than the sum of its proper divisors (5626099195488).

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

2678927978592 is a wasteful number, since it uses less digits than its factorization.

2678927978592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138246 (or 138235 counting only the distinct ones).

The product of its digits is 3840721920, while the sum is 81.

The spelling of 2678927978592 in words is "two trillion, six hundred seventy-eight billion, nine hundred twenty-seven million, nine hundred seventy-eight thousand, five hundred ninety-two".