2542407561 has 16 divisors (see below), whose sum is σ = 3768172800. Its totient is φ = 1694199024.

The previous prime is 2542407559. The next prime is 2542407577. The reversal of 2542407561 is 1657042452.

It is a happy number.

2542407561 is a `hidden beast` number, since 2 + 54 + 2 + 40 + 7 + 561 = 666.

It is not a de Polignac number, because 2542407561 - 2¹ = 2542407559 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2542407541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46480 + ... + 85118.

It is an arithmetic number, because the mean of its divisors is an integer number (235510800).

Almost surely, 2^2542407561 is an apocalyptic number.

It is an amenable number.

2542407561 is a deficient number, since it is larger than the sum of its proper divisors (1225765239).

2542407561 is a wasteful number, since it uses less digits than its factorization.

2542407561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41085 (or 41079 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 2542407561 is about 50422.2923021157. The cubic root of 2542407561 is about 1364.8399425900.

The spelling of 2542407561 in words is "two billion, five hundred forty-two million, four hundred seven thousand, five hundred sixty-one".