2584265642 has 32 divisors (see below), whose sum is σ = 4721898240. Its totient is φ = 1035475200.

The previous prime is 2584265633. The next prime is 2584265657. The reversal of 2584265642 is 2465624852.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2584265593 and 2584265602.

It is an unprimeable number.

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, 17 + ... + 71892.

It is an arithmetic number, because the mean of its divisors is an integer number (147559320).

Almost surely, 2^2584265642 is an apocalyptic number.

2584265642 is a deficient number, since it is larger than the sum of its proper divisors (2137632598).

2584265642 is a wasteful number, since it uses less digits than its factorization.

2584265642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72086.

The product of its digits is 921600, while the sum is 44.

The square root of 2584265642 is about 50835.6729275811. The cubic root of 2584265642 is about 1372.2894289338.

The spelling of 2584265642 in words is "two billion, five hundred eighty-four million, two hundred sixty-five thousand, six hundred forty-two".