2782565776 has 80 divisors (see below), whose sum is σ = 5774630400. Its totient is φ = 1296497664.

The previous prime is 2782565759. The next prime is 2782565837. The reversal of 2782565776 is 6775652872.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1774945 + ... + 1776511.

It is an arithmetic number, because the mean of its divisors is an integer number (72182880).

Almost surely, 2^2782565776 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 2782565776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2887315200).

2782565776 is an abundant number, since it is smaller than the sum of its proper divisors (2992064624).

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

2782565776 is a wasteful number, since it uses less digits than its factorization.

2782565776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736 (or 1730 counting only the distinct ones).

The product of its digits is 9878400, while the sum is 55.

The square root of 2782565776 is about 52750.0310521236. The cubic root of 2782565776 is about 1406.5283160453.

The spelling of 2782565776 in words is "two billion, seven hundred eighty-two million, five hundred sixty-five thousand, seven hundred seventy-six".