2909729758849 has 9 divisors (see below), whose sum is σ = 2922670683849. Its totient is φ = 2896845904320.

The previous prime is 2909729758781. The next prime is 2909729758877. The reversal of 2909729758849 is 9488579279092.

The square root of 2909729758849 is 1705793.

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 2279662121025 + 630067637824 = 1509855^2 + 793768^2 .

It is not a de Polignac number, because 2909729758849 - 2²¹ = 2909727661697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2909729758879) 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, 397446109 + ... + 397453429.

Almost surely, 2^{2909729758849} is an apocalyptic number.

2909729758849 is the 1705793-rd square number.

2909729758849 is the 852897-th centered octagonal number.

It is an amenable number.

2909729758849 is a deficient number, since it is larger than the sum of its proper divisors (12940925000).

2909729758849 is an frugal number, since it uses more digits than its factorization.

2909729758849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15108 (or 7554 counting only the distinct ones).

The product of its (nonzero) digits is 1646023680, while the sum is 79.

The spelling of 2909729758849 in words is "two trillion, nine hundred nine billion, seven hundred twenty-nine million, seven hundred fifty-eight thousand, eight hundred forty-nine".