2304640 has 64 divisors (see below), whose sum is σ = 5954760. Its totient is φ = 847872.

The previous prime is 2304637. The next prime is 2304647. The reversal of 2304640 is 464032.

It can be written as a sum of positive squares in 4 ways, for example, as 1032256 + 1272384 = 1016^2 + 1128^2 .

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

It is a super-2 number, since 2×2304640² = 10622731059200, which contains 22 as substring.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2304647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8182 + ... + 8458.

2^2304640 is an apocalyptic number.

2304640 is a gapful number since it is divisible by the number (20) 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 2304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2977380).

2304640 is an abundant number, since it is smaller than the sum of its proper divisors (3650120).

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

2304640 is a wasteful number, since it uses less digits than its factorization.

2304640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 2304640 is about 1518.1040807534. The cubic root of 2304640 is about 132.0893181838.

Adding to 2304640 its reverse (464032), we get a palindrome (2768672).

The spelling of 2304640 in words is "two million, three hundred four thousand, six hundred forty".