2768872013184 has 64 divisors (see below), whose sum is σ = 7355238474240. Its totient is φ = 922904357376.

The previous prime is 2768872013161. The next prime is 2768872013189. The reversal of 2768872013184 is 4813102788672.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2768872013189) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6799789 + ... + 7195475.

It is an arithmetic number, because the mean of its divisors is an integer number (114925601160).

Almost surely, 2^{2768872013184} is an apocalyptic number.

2768872013184 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2768872013184 is an abundant number, since it is smaller than the sum of its proper divisors (4586366461056).

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

2768872013184 is a wasteful number, since it uses less digits than its factorization.

2768872013184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413927 (or 413915 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 57.

The spelling of 2768872013184 in words is "two trillion, seven hundred sixty-eight billion, eight hundred seventy-two million, thirteen thousand, one hundred eighty-four".