2783108576560 has 160 divisors (see below), whose sum is σ = 7273344476160. Its totient is φ = 982674975744.

The previous prime is 2783108576509. The next prime is 2783108576579. The reversal of 2783108576560 is 656758013872.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2783108576495 and 2783108576504.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108081607 + ... + 108107353.

It is an arithmetic number, because the mean of its divisors is an integer number (45458402976).

Almost surely, 2^{2783108576560} is an apocalyptic number.

2783108576560 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 2783108576560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3636672238080).

2783108576560 is an abundant number, since it is smaller than the sum of its proper divisors (4490235899600).

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

2783108576560 is a wasteful number, since it uses less digits than its factorization.

2783108576560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30315 (or 30309 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 58.

The spelling of 2783108576560 in words is "two trillion, seven hundred eighty-three billion, one hundred eight million, five hundred seventy-six thousand, five hundred sixty".