2541917872765 has 32 divisors (see below), whose sum is σ = 3130170531840. Its totient is φ = 1980714437184.

The previous prime is 2541917872759. The next prime is 2541917872853. The reversal of 2541917872765 is 5672787191452.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2541917872765 - 2³ = 2541917872757 is a prime.

It is a super-2 number, since 2×2541917872765² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2541917872697 and 2541917872706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96759162 + ... + 96785428.

It is an arithmetic number, because the mean of its divisors is an integer number (97817829120).

Almost surely, 2^{2541917872765} is an apocalyptic number.

It is an amenable number.

2541917872765 is a deficient number, since it is larger than the sum of its proper divisors (588252659075).

2541917872765 is a wasteful number, since it uses less digits than its factorization.

2541917872765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28281.

The product of its digits is 59270400, while the sum is 64.

The spelling of 2541917872765 in words is "two trillion, five hundred forty-one billion, nine hundred seventeen million, eight hundred seventy-two thousand, seven hundred sixty-five".