2542303205541 has 32 divisors (see below), whose sum is σ = 4138332441600. Its totient is φ = 1529704977840.

The previous prime is 2542303205483. The next prime is 2542303205551. The reversal of 2542303205541 is 1455023032452.

2542303205541 is a `hidden beast` number, since 2 + 5 + 42 + 30 + 32 + 0 + 554 + 1 = 666.

2542303205541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2542303205541 - 2²⁶ = 2542236096677 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2542303205496 and 2542303205505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542303205551) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30749881 + ... + 30832446.

It is an arithmetic number, because the mean of its divisors is an integer number (129322888800).

Almost surely, 2^{2542303205541} is an apocalyptic number.

It is an amenable number.

2542303205541 is a deficient number, since it is larger than the sum of its proper divisors (1596029236059).

2542303205541 is a wasteful number, since it uses less digits than its factorization.

2542303205541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61582486 (or 61582480 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 2542303205541 its reverse (1455023032452), we get a palindrome (3997326237993).

The spelling of 2542303205541 in words is "two trillion, five hundred forty-two billion, three hundred three million, two hundred five thousand, five hundred forty-one".