2642268409 has 9 divisors (see below), whose sum is σ = 2904933199. Its totient is φ = 2401548160.

The previous prime is 2642268407. The next prime is 2642268427. The reversal of 2642268409 is 9048622462.

The square root of 2642268409 is 51403.

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., 2532605625 + 109662784 = 50325^2 + 10472^2 .

It is not a de Polignac number, because 2642268409 - 2¹ = 2642268407 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2642268403) 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, 563097 + ... + 567769.

Almost surely, 2^2642268409 is an apocalyptic number.

2642268409 is the 51403-rd square number.

2642268409 is the 25702-nd centered octagonal number.

It is an amenable number.

2642268409 is a deficient number, since it is larger than the sum of its proper divisors (262664790).

2642268409 is an frugal number, since it uses more digits than its factorization.

2642268409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9368 (or 4684 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 43.

The cubic root of 2642268409 is about 1382.4803828366.

Multiplying 2642268409 by its product of nonzero digits (331776), we get a square (876641243664384 = 29608128²).

The spelling of 2642268409 in words is "two billion, six hundred forty-two million, two hundred sixty-eight thousand, four hundred nine".