2584704 has 64 divisors (see below), whose sum is σ = 7050240. Its totient is φ = 838656.

The previous prime is 2584693. The next prime is 2584739. The reversal of 2584704 is 4074852.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent 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, 20289 + ... + 20415.

It is an arithmetic number, because the mean of its divisors is an integer number (110160).

2^2584704 is an apocalyptic number.

2584704 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 2584704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3525120).

2584704 is an abundant number, since it is smaller than the sum of its proper divisors (4465536).

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

2584704 is a wasteful number, since it uses less digits than its factorization.

2584704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 2584704 is about 1607.7014648249. The cubic root of 2584704 is about 137.2367016422.

The spelling of 2584704 in words is "two million, five hundred eighty-four thousand, seven hundred four".