2371640040169 has 27 divisors (see below), whose sum is σ = 2539905601743. Its totient is φ = 2214070530048.

The previous prime is 2371640040163. The next prime is 2371640040173. The reversal of 2371640040169 is 9610400461732.

The square root of 2371640040169 is 1540013.

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 3080025 + 2371636960144 = 1755^2 + 1540012^2 .

It is not a de Polignac number, because 2371640040169 - 2⁷ = 2371640040041 is a prime.

It is a super-3 number, since 3×2371640040169³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2371640040163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4110294409 + ... + 4110294985.

Almost surely, 2^{2371640040169} is an apocalyptic number.

2371640040169 is the 1540013-rd square number.

2371640040169 is the 770007-th centered octagonal number.

It is an amenable number.

2371640040169 is a deficient number, since it is larger than the sum of its proper divisors (168265561574).

2371640040169 is an frugal number, since it uses more digits than its factorization.

2371640040169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The spelling of 2371640040169 in words is "two trillion, three hundred seventy-one billion, six hundred forty million, forty thousand, one hundred sixty-nine".