2542131342544 has 20 divisors (see below), whose sum is σ = 5006123403940. Its totient is φ = 1250228528640.

The previous prime is 2542131342539. The next prime is 2542131342547. The reversal of 2542131342544 is 4452431312452.

It can be written as a sum of positive squares in 2 ways, for example, as 931008852544 + 1611122490000 = 964888^2 + 1269300^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2542131342497 and 2542131342506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542131342547) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1302320409 + ... + 1302322360.

It is an arithmetic number, because the mean of its divisors is an integer number (250306170197).

Almost surely, 2^{2542131342544} is an apocalyptic number.

It is an amenable number.

2542131342544 is a deficient number, since it is larger than the sum of its proper divisors (2463992061396).

2542131342544 is a wasteful number, since it uses less digits than its factorization.

2542131342544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2604642838 (or 2604642832 counting only the distinct ones).

The product of its digits is 460800, while the sum is 40.

Adding to 2542131342544 its reverse (4452431312452), we get a palindrome (6994562654996).

The spelling of 2542131342544 in words is "two trillion, five hundred forty-two billion, one hundred thirty-one million, three hundred forty-two thousand, five hundred forty-four".