2768969641 has 9 divisors (see below), whose sum is σ = 2802034789. Its totient is φ = 2736292000.

The previous prime is 2768969591. The next prime is 2768969659. The reversal of 2768969641 is 1469698672.

It is a happy number.

The square root of 2768969641 is 52621.

It is a perfect power (a square), and thus also a powerful number.

2768969641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 354230041 + 2414739600 = 18821^2 + 49140^2 .

It is not a de Polignac number, because 2768969641 - 2²¹ = 2766872489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2768969681) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5314461 + ... + 5314981.

Almost surely, 2^2768969641 is an apocalyptic number.

2768969641 is the 52621-st square number.

2768969641 is the 26311-st centered octagonal number.

It is an amenable number.

2768969641 is a deficient number, since it is larger than the sum of its proper divisors (33065148).

2768969641 is an frugal number, since it uses more digits than its factorization.

2768969641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 622 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 58.

The cubic root of 2768969641 is about 1404.2337215376.

The spelling of 2768969641 in words is "two billion, seven hundred sixty-eight million, nine hundred sixty-nine thousand, six hundred forty-one".