2781456706560 has 704 divisors, whose sum is σ = 10797941376000. Its totient is φ = 596920762368.

The previous prime is 2781456706519. The next prime is 2781456706597. The reversal of 2781456706560 is 656076541872.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 2781456706560.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 230839416 + ... + 230851464.

Almost surely, 2^{2781456706560} is an apocalyptic number.

2781456706560 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 2781456706560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5398970688000).

2781456706560 is an abundant number, since it is smaller than the sum of its proper divisors (8016484669440).

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

2781456706560 is a wasteful number, since it uses less digits than its factorization.

2781456706560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12216 (or 12198 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 57.

The spelling of 2781456706560 in words is "two trillion, seven hundred eighty-one billion, four hundred fifty-six million, seven hundred six thousand, five hundred sixty".