2688111409 has 9 divisors (see below), whose sum is σ = 2714867883. Its totient is φ = 2661617592.

The previous prime is 2688111397. The next prime is 2688111427. The reversal of 2688111409 is 9041118862.

The square root of 2688111409 is 51847.

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

It can be written as a sum of positive squares in only one way, i.e., 1461150625 + 1226960784 = 38225^2 + 35028^2 .

It is not a de Polignac number, because 2688111409 - 2¹⁹ = 2687587121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2688111709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7206547 + ... + 7206919.

It is an arithmetic number, because the mean of its divisors is an integer number (301651987).

Almost surely, 2^2688111409 is an apocalyptic number.

2688111409 is the 51847-th square number.

2688111409 is the 25924-th centered octagonal number.

It is an amenable number.

2688111409 is a deficient number, since it is larger than the sum of its proper divisors (26756474).

2688111409 is an frugal number, since it uses more digits than its factorization.

2688111409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 40.

The cubic root of 2688111409 is about 1390.4298670470.

The spelling of 2688111409 in words is "two billion, six hundred eighty-eight million, one hundred eleven thousand, four hundred nine".