2541993375769 has 9 divisors (see below), whose sum is σ = 2551908851167. Its totient is φ = 2532116296984.

The previous prime is 2541993375763. The next prime is 2541993375773. The reversal of 2541993375769 is 9675733991452.

The square root of 2541993375769 is 1594363.

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

It can be written as a sum of positive squares in only one way, i.e., 167250735369 + 2374742640400 = 408963^2 + 1541020^2 .

It is not a de Polignac number, because 2541993375769 - 2²³ = 2541984987161 is a prime.

It is a super-4 number, since 4×2541993375769⁴ (a number of 51 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2541993375698 and 2541993375707.

It is not an unprimeable number, because it can be changed into a prime (2541993375763) 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, 428880684 + ... + 428886610.

Almost surely, 2^{2541993375769} is an apocalyptic number.

2541993375769 is the 1594363-rd square number.

2541993375769 is the 797182-nd centered octagonal number.

It is an amenable number.

2541993375769 is a deficient number, since it is larger than the sum of its proper divisors (9915475398).

2541993375769 is an frugal number, since it uses more digits than its factorization.

2541993375769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12392 (or 6196 counting only the distinct ones).

The product of its digits is 385786800, while the sum is 70.

The spelling of 2541993375769 in words is "two trillion, five hundred forty-one billion, nine hundred ninety-three million, three hundred seventy-five thousand, seven hundred sixty-nine".