2218127409 has 15 divisors (see below), whose sum is σ = 3314132283. Its totient is φ = 1478469024.

The previous prime is 2218127381. The next prime is 2218127449. The reversal of 2218127409 is 9047218122.

The square root of 2218127409 is 47097.

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

2218127409 is a `hidden beast` number, since 221 + 8 + 1 + 27 + 409 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2135826225 + 82301184 = 46215^2 + 9072^2 .

It is not a de Polignac number, because 2218127409 - 2⁷ = 2218127281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2218127449) 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 14 ways as a sum of consecutive naturals, for example, 421257 + ... + 426489.

Almost surely, 2^2218127409 is an apocalyptic number.

2218127409 is the 47097-th square number.

2218127409 is the 23549-th centered octagonal number.

It is an amenable number.

2218127409 is a deficient number, since it is larger than the sum of its proper divisors (1096004874).

2218127409 is an frugal number, since it uses more digits than its factorization.

2218127409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10478 (or 5236 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The cubic root of 2218127409 is about 1304.1538549771.

Multiplying 2218127409 by its sum of digits (36), we get a square (79852586724 = 282582²).

The spelling of 2218127409 in words is "two billion, two hundred eighteen million, one hundred twenty-seven thousand, four hundred nine".