2564304 has 40 divisors (see below), whose sum is σ = 6791232. Its totient is φ = 833280.

The previous prime is 2564279. The next prime is 2564321. The reversal of 2564304 is 4034652.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1317 + ... + 2619.

2^2564304 is an apocalyptic number.

2564304 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 2564304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3395616).

2564304 is an abundant number, since it is smaller than the sum of its proper divisors (4226928).

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

2564304 is a wasteful number, since it uses less digits than its factorization.

2564304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2564304 is about 1601.3444351544. The cubic root of 2564304 is about 136.8746967321.

Adding to 2564304 its reverse (4034652), we get a palindrome (6598956).

It can be divided in two parts, 256 and 4304, that added together give a triangular number (4560 = T₉₅).

The spelling of 2564304 in words is "two million, five hundred sixty-four thousand, three hundred four".