2584872 has 40 divisors (see below), whose sum is σ = 7241850. Its totient is φ = 861408.

The previous prime is 2584871. The next prime is 2584877. The reversal of 2584872 is 2784852.

It is a happy number.

2584872 is a `hidden beast` number, since 2 + 584 + 8 + 72 = 666.

2584872 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2232036 + 352836 = 1494^2 + 594^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2584871) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1347 + ... + 2642.

2^2584872 is an apocalyptic number.

It is an amenable number.

2584872 is an abundant number, since it is smaller than the sum of its proper divisors (4656978).

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

2584872 is a wasteful number, since it uses less digits than its factorization.

2584872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4007 (or 3994 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 2584872 is about 1607.7537124821. The cubic root of 2584872 is about 137.2396749377.

The spelling of 2584872 in words is "two million, five hundred eighty-four thousand, eight hundred seventy-two".