2766521328 has 80 divisors (see below), whose sum is σ = 7584157440. Its totient is φ = 867108352.

The previous prime is 2766521327. The next prime is 2766521377. The reversal of 2766521328 is 8231256672.

2766521328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2766521328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2766521327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43900 + ... + 86372.

It is an arithmetic number, because the mean of its divisors is an integer number (94801968).

Almost surely, 2^2766521328 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 2766521328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3792078720).

2766521328 is an abundant number, since it is smaller than the sum of its proper divisors (4817636112).

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

2766521328 is a wasteful number, since it uses less digits than its factorization.

2766521328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42566 (or 42560 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 2766521328 is about 52597.7312058229. The cubic root of 2766521328 is about 1403.8197266936.

The spelling of 2766521328 in words is "two billion, seven hundred sixty-six million, five hundred twenty-one thousand, three hundred twenty-eight".