2542427541 has 32 divisors (see below), whose sum is σ = 3868300800. Its totient is φ = 1649574720.

The previous prime is 2542427527. The next prime is 2542427551. The reversal of 2542427541 is 1457242452.

2542427541 is a `hidden beast` number, since 2 + 542 + 4 + 2 + 75 + 41 = 666.

It is not a de Polignac number, because 2542427541 - 2⁷ = 2542427413 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2542427496 and 2542427505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542427501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224155 + ... + 235223.

It is an arithmetic number, because the mean of its divisors is an integer number (120884400).

Almost surely, 2^2542427541 is an apocalyptic number.

It is an amenable number.

2542427541 is a deficient number, since it is larger than the sum of its proper divisors (1325873259).

2542427541 is a wasteful number, since it uses less digits than its factorization.

2542427541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11306 (or 11300 counting only the distinct ones).

The product of its digits is 89600, while the sum is 36.

The square root of 2542427541 is about 50422.4904283793. The cubic root of 2542427541 is about 1364.8435178666.

Adding to 2542427541 its reverse (1457242452), we get a palindrome (3999669993).

The spelling of 2542427541 in words is "two billion, five hundred forty-two million, four hundred twenty-seven thousand, five hundred forty-one".