2584472 has 32 divisors (see below), whose sum is σ = 5417280. Its totient is φ = 1145760.

The previous prime is 2584469. The next prime is 2584481. The reversal of 2584472 is 2744852.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 3443 + ... + 4125.

It is an arithmetic number, because the mean of its divisors is an integer number (169290).

2^2584472 is an apocalyptic number.

2584472 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2584472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708640).

2584472 is an abundant number, since it is smaller than the sum of its proper divisors (2832808).

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

2584472 is a wasteful number, since it uses less digits than its factorization.

2584472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 739 counting only the distinct ones).

The product of its digits is 17920, while the sum is 32.

The square root of 2584472 is about 1607.6293105066. The cubic root of 2584472 is about 137.2325954509.

The spelling of 2584472 in words is "two million, five hundred eighty-four thousand, four hundred seventy-two".