2715764769 has 27 divisors (see below), whose sum is σ = 4069497523. Its totient is φ = 1745160144.

The previous prime is 2715764743. The next prime is 2715764771. The reversal of 2715764769 is 9674675172.

The square root of 2715764769 is 52113.

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

2715764769 is a `hidden beast` number, since 2 + 7 + 1 + 576 + 4 + 7 + 69 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1424081169 + 1291683600 = 37737^2 + 35940^2 .

It is not a de Polignac number, because 2715764769 - 2¹⁹ = 2715240481 is a prime.

It is a super-2 number, since 2×2715764769² = 14750756561083246722, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2715764729) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4533532 + ... + 4534130.

Almost surely, 2^2715764769 is an apocalyptic number.

2715764769 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

2715764769 is the 52113-rd square number.

2715764769 is the 26057-th centered octagonal number.

It is an amenable number.

2715764769 is a deficient number, since it is larger than the sum of its proper divisors (1353732754).

2715764769 is an frugal number, since it uses more digits than its factorization.

2715764769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 631 counting only the distinct ones).

The product of its digits is 4445280, while the sum is 54.

The cubic root of 2715764769 is about 1395.1815249192.

The spelling of 2715764769 in words is "two billion, seven hundred fifteen million, seven hundred sixty-four thousand, seven hundred sixty-nine".