2042123677541 has 2 divisors, whose sum is σ = 2042123677542. Its totient is φ = 2042123677540.

The previous prime is 2042123677501. The next prime is 2042123677567. The reversal of 2042123677541 is 1457763212402.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1522793020225 + 519330657316 = 1234015^2 + 720646^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2042123677541 is a prime.

It is a super-2 number, since 2×2042123677541² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2042123677492 and 2042123677501.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2042123677501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1021061838770 + 1021061838771.

It is an arithmetic number, because the mean of its divisors is an integer number (1021061838771).

Almost surely, 2^{2042123677541} is an apocalyptic number.

It is an amenable number.

2042123677541 is a deficient number, since it is larger than the sum of its proper divisors (1).

2042123677541 is an equidigital number, since it uses as much as digits as its factorization.

2042123677541 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 564480, while the sum is 44.

Adding to 2042123677541 its reverse (1457763212402), we get a palindrome (3499886889943).

The spelling of 2042123677541 in words is "two trillion, forty-two billion, one hundred twenty-three million, six hundred seventy-seven thousand, five hundred forty-one".