2784009248769 has 24 divisors (see below), whose sum is σ = 4318230806400. Its totient is φ = 1590797716704.

The previous prime is 2784009248747. The next prime is 2784009248777. The reversal of 2784009248769 is 9678429004872.

It is a happy number.

It is not a de Polignac number, because 2784009248769 - 2¹² = 2784009244673 is a prime.

It is a super-2 number, since 2×2784009248769² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2784009244769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3364707 + ... + 4109655.

It is an arithmetic number, because the mean of its divisors is an integer number (179926283600).

Almost surely, 2^{2784009248769} is an apocalyptic number.

It is an amenable number.

2784009248769 is a deficient number, since it is larger than the sum of its proper divisors (1534221557631).

2784009248769 is a wasteful number, since it uses less digits than its factorization.

2784009248769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770389 (or 770382 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 66.

The spelling of 2784009248769 in words is "two trillion, seven hundred eighty-four billion, nine million, two hundred forty-eight thousand, seven hundred sixty-nine".