2872584 has 160 divisors (see below), whose sum is σ = 9757440. Its totient is φ = 777600.

The previous prime is 2872579. The next prime is 2872601. The reversal of 2872584 is 4852782.

It is a happy number.

2872584 is a `hidden beast` number, since 2 + 8 + 72 + 584 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 92649 + ... + 92679.

It is an arithmetic number, because the mean of its divisors is an integer number (60984).

2^2872584 is an apocalyptic number.

2872584 is a gapful number since it is divisible by the number (24) 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 2872584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4878720).

2872584 is an abundant number, since it is smaller than the sum of its proper divisors (6884856).

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

2872584 is a wasteful number, since it uses less digits than its factorization.

2872584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 60 counting only the distinct ones).

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

The square root of 2872584 is about 1694.8699065120. The cubic root of 2872584 is about 142.1535072063.

The spelling of 2872584 in words is "two million, eight hundred seventy-two thousand, five hundred eighty-four".