2942724100969 has 27 divisors (see below), whose sum is σ = 3076036192047. Its totient is φ = 2815073287488.

The previous prime is 2942724100961. The next prime is 2942724100997. The reversal of 2942724100969 is 9690014272492.

The square root of 2942724100969 is 1715437.

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

It can be written as a sum of positive squares in 13 ways, for example, as 2145653688025 + 797070412944 = 1464805^2 + 892788^2 .

It is not a de Polignac number, because 2942724100969 - 2³ = 2942724100961 is a prime.

It is a super-2 number, since 2×2942724100969² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2942724100961) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7412403079 + ... + 7412403475.

Almost surely, 2^{2942724100969} is an apocalyptic number.

2942724100969 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

2942724100969 is the 1715437-th square number.

2942724100969 is the 857719-th centered octagonal number.

It is an amenable number.

2942724100969 is a deficient number, since it is larger than the sum of its proper divisors (133312091078).

2942724100969 is an frugal number, since it uses more digits than its factorization.

2942724100969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 55.

The spelling of 2942724100969 in words is "two trillion, nine hundred forty-two billion, seven hundred twenty-four million, one hundred thousand, nine hundred sixty-nine".