2542403542401 has 128 divisors (see below), whose sum is σ = 4188688588800. Its totient is φ = 1516838400000.

The previous prime is 2542403542379. The next prime is 2542403542429. The reversal of 2542403542401 is 1042453042452.

2542403542401 is a `hidden beast` number, since 2 + 5 + 4 + 2 + 403 + 5 + 4 + 240 + 1 = 666.

It is not a de Polignac number, because 2542403542401 - 2³⁵ = 2508043804033 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2542403542501) 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 127 ways as a sum of consecutive naturals, for example, 256777551 + ... + 256787451.

It is an arithmetic number, because the mean of its divisors is an integer number (32724129600).

Almost surely, 2^{2542403542401} is an apocalyptic number.

It is an amenable number.

2542403542401 is a deficient number, since it is larger than the sum of its proper divisors (1646285046399).

2542403542401 is a wasteful number, since it uses less digits than its factorization.

2542403542401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10248 (or 10242 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 2542403542401 its reverse (1042453042452), we get a palindrome (3584856584853).

The spelling of 2542403542401 in words is "two trillion, five hundred forty-two billion, four hundred three million, five hundred forty-two thousand, four hundred one".