2768041638 has 24 divisors (see below), whose sum is σ = 6313078200. Its totient is φ = 874118304.

The previous prime is 2768041637. The next prime is 2768041649. The reversal of 2768041638 is 8361408672.

2768041638 is a `hidden beast` number, since 2 + 7 + 6 + 8 + 0 + 4 + 1 + 638 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2768041593 and 2768041602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2768041637) 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 11 ways as a sum of consecutive naturals, for example, 4046503 + ... + 4047186.

It is an arithmetic number, because the mean of its divisors is an integer number (263044925).

Almost surely, 2^2768041638 is an apocalyptic number.

2768041638 is an abundant number, since it is smaller than the sum of its proper divisors (3545036562).

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

2768041638 is a wasteful number, since it uses less digits than its factorization.

2768041638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8093716 (or 8093713 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2768041638 is about 52612.1814601904. The cubic root of 2768041638 is about 1404.0768306021.

The spelling of 2768041638 in words is "two billion, seven hundred sixty-eight million, forty-one thousand, six hundred thirty-eight".