2542361601 has 16 divisors (see below), whose sum is σ = 3651548096. Its totient is φ = 1564111296.

The previous prime is 2542361567. The next prime is 2542361639. The reversal of 2542361601 is 1061632452.

It is not a de Polignac number, because 2542361601 - 2⁶ = 2542361537 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2542361641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205086 + ... + 217128.

It is an arithmetic number, because the mean of its divisors is an integer number (228221756).

Almost surely, 2^2542361601 is an apocalyptic number.

It is an amenable number.

2542361601 is a deficient number, since it is larger than the sum of its proper divisors (1109186495).

2542361601 is a wasteful number, since it uses less digits than its factorization.

2542361601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17472.

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2542361601 is about 50421.8365492571. The cubic root of 2542361601 is about 1364.8317183091.

The spelling of 2542361601 in words is "two billion, five hundred forty-two million, three hundred sixty-one thousand, six hundred one".