2941729231609 has 135 divisors (see below), whose sum is σ = 3829529611661. Its totient is φ = 2259054416640.

The previous prime is 2941729231607. The next prime is 2941729231627. The reversal of 2941729231609 is 9061329271492.

It is a happy number.

The square root of 2941729231609 is 1715147.

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

It can be written as a sum of positive squares in 4 ways, for example, as 290785170025 + 2650944061584 = 539245^2 + 1628172^2 .

It is not a de Polignac number, because 2941729231609 - 2¹ = 2941729231607 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2941729231609.

It is not an unprimeable number, because it can be changed into a prime (2941729231601) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 41432806044 + ... + 41432806114.

Almost surely, 2^{2941729231609} is an apocalyptic number.

2941729231609 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

2941729231609 is the 1715147-th square number.

2941729231609 is the 857574-th centered octagonal number.

It is an amenable number.

2941729231609 is a deficient number, since it is larger than the sum of its proper divisors (887800380052).

2941729231609 is an frugal number, since it uses more digits than its factorization.

2941729231609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 55.

The spelling of 2941729231609 in words is "two trillion, nine hundred forty-one billion, seven hundred twenty-nine million, two hundred thirty-one thousand, six hundred nine".