2582442074141 has 32 divisors (see below), whose sum is σ = 2653088256000. Its totient is φ = 2513015638848.

The previous prime is 2582442074137. The next prime is 2582442074153. The reversal of 2582442074141 is 1414702442852.

2582442074141 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 2582442074141 - 2² = 2582442074137 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2582442074092 and 2582442074101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2582442074101) 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, 2328621695 + ... + 2328622803.

It is an arithmetic number, because the mean of its divisors is an integer number (82909008000).

Almost surely, 2^{2582442074141} is an apocalyptic number.

It is an amenable number.

2582442074141 is a deficient number, since it is larger than the sum of its proper divisors (70646181859).

2582442074141 is a wasteful number, since it uses less digits than its factorization.

2582442074141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2393.

The product of its (nonzero) digits is 573440, while the sum is 44.

The spelling of 2582442074141 in words is "two trillion, five hundred eighty-two billion, four hundred forty-two million, seventy-four thousand, one hundred forty-one".