2768528412 has 144 divisors (see below), whose sum is σ = 7684604928. Its totient is φ = 835297920.

The previous prime is 2768528407. The next prime is 2768528419. The reversal of 2768528412 is 2148258672.

2768528412 is a `hidden beast` number, since 27 + 68 + 528 + 41 + 2 = 666.

Its product of digits (430080) is a multiple of the sum of its prime factors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2768528419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10215837 + ... + 10216107.

It is an arithmetic number, because the mean of its divisors is an integer number (53365312).

Almost surely, 2^2768528412 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 2768528412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3842302464).

2768528412 is an abundant number, since it is smaller than the sum of its proper divisors (4916076516).

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

2768528412 is a wasteful number, since it uses less digits than its factorization.

2768528412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 635 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 2768528412 is about 52616.8073147735. The cubic root of 2768528412 is about 1404.1591304281.

The spelling of 2768528412 in words is "two billion, seven hundred sixty-eight million, five hundred twenty-eight thousand, four hundred twelve".