2784009248768 has 56 divisors (see below), whose sum is σ = 6073831454040. Its totient is φ = 1265458708480.

The previous prime is 2784009248747. The next prime is 2784009248777. The reversal of 2784009248768 is 8678429004872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15357383 + ... + 15537606.

It is an arithmetic number, because the mean of its divisors is an integer number (108461275965).

Almost surely, 2^{2784009248768} is an apocalyptic number.

It is an amenable number.

2784009248768 is an abundant number, since it is smaller than the sum of its proper divisors (3289822205272).

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

2784009248768 is an equidigital number, since it uses as much as digits as its factorization.

2784009248768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30895026 (or 30895002 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 65.

The spelling of 2784009248768 in words is "two trillion, seven hundred eighty-four billion, nine million, two hundred forty-eight thousand, seven hundred sixty-eight".