2779278064560 has 720 divisors, whose sum is σ = 10148195813184. Its totient is φ = 680325144576.

The previous prime is 2779278064559. The next prime is 2779278064561. The reversal of 2779278064560 is 654608729772.

2779278064560 is a `hidden beast` number, since 2 + 7 + 7 + 9 + 2 + 7 + 8 + 0 + 64 + 560 = 666.

2779278064560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2779278064559) and next prime (2779278064561).

It is a tau number, because it is divible by the number of its divisors (720).

It is not an unprimeable number, because it can be changed into a prime (2779278064561) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2743610614 + ... + 2743611626.

Almost surely, 2^{2779278064560} is an apocalyptic number.

2779278064560 is a gapful number since it is divisible by the number (20) 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 2779278064560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5074097906592).

2779278064560 is an abundant number, since it is smaller than the sum of its proper divisors (7368917748624).

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

2779278064560 is a wasteful number, since it uses less digits than its factorization.

2779278064560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 2779278064560 in words is "two trillion, seven hundred seventy-nine billion, two hundred seventy-eight million, sixty-four thousand, five hundred sixty".