2875584 has 56 divisors (see below), whose sum is σ = 8065008. Its totient is φ = 901120.

The previous prime is 2875577. The next prime is 2875619. The reversal of 2875584 is 4855782.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2824 + ... + 3704.

It is an arithmetic number, because the mean of its divisors is an integer number (144018).

2^2875584 is an apocalyptic number.

2875584 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 2875584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4032504).

2875584 is an abundant number, since it is smaller than the sum of its proper divisors (5189424).

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

2875584 is a wasteful number, since it uses less digits than its factorization.

2875584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 903 counting only the distinct ones).

The product of its digits is 89600, while the sum is 39.

The square root of 2875584 is about 1695.7546992416. The cubic root of 2875584 is about 142.2029762730.

Multiplying 2875584 by its sum of digits (39), we get a triangular number (112147776 = T₁₄₉₇₆).

The spelling of 2875584 in words is "two million, eight hundred seventy-five thousand, five hundred eighty-four".