2583872442 has 24 divisors (see below), whose sum is σ = 5601997440. Its totient is φ = 860735880.

The previous prime is 2583872407. The next prime is 2583872443. The reversal of 2583872442 is 2442783852.

2583872442 is a `hidden beast` number, since 2 + 583 + 8 + 7 + 24 + 42 = 666.

It is not an unprimeable number, because it can be changed into a prime (2583872443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17034 + ... + 73877.

It is an arithmetic number, because the mean of its divisors is an integer number (233416560).

Almost surely, 2^2583872442 is an apocalyptic number.

2583872442 is an abundant number, since it is smaller than the sum of its proper divisors (3018124998).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2583872442 is a wasteful number, since it uses less digits than its factorization.

2583872442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92498 (or 92495 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The square root of 2583872442 is about 50831.8054174746. The cubic root of 2583872442 is about 1372.2198267531.

The spelling of 2583872442 in words is "two billion, five hundred eighty-three million, eight hundred seventy-two thousand, four hundred forty-two".