2641934912409 has 81 divisors (see below), whose sum is σ = 4198430035839. Its totient is φ = 1600176745440.

The previous prime is 2641934912387. The next prime is 2641934912411. The reversal of 2641934912409 is 9042194391462.

The square root of 2641934912409 is 1625403.

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

2641934912409 is a `hidden beast` number, since 2 + 6 + 4 + 193 + 49 + 1 + 2 + 409 = 666.

It can be written as a sum of positive squares in only one way, i.e., 390818774025 + 2251116138384 = 625155^2 + 1500372^2 .

It is not a de Polignac number, because 2641934912409 - 2¹¹ = 2641934910361 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2641934912479) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4500740614 + ... + 4500741200.

Almost surely, 2^{2641934912409} is an apocalyptic number.

2641934912409 is the 1625403-rd square number.

2641934912409 is the 812702-nd centered octagonal number.

It is an amenable number.

2641934912409 is a deficient number, since it is larger than the sum of its proper divisors (1556495123430).

2641934912409 is an frugal number, since it uses more digits than its factorization.

2641934912409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 2641934912409 in words is "two trillion, six hundred forty-one billion, nine hundred thirty-four million, nine hundred twelve thousand, four hundred nine".