2504320 has 128 divisors (see below), whose sum is σ = 7539840. Its totient is φ = 774144.

The previous prime is 2504317. The next prime is 2504323. The reversal of 2504320 is 234052.

It is an interprime number because it is at equal distance from previous prime (2504317) and next prime (2504323).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2504294 and 2504303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2504323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58219 + ... + 58261.

It is an arithmetic number, because the mean of its divisors is an integer number (58905).

2^2504320 is an apocalyptic number.

2504320 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 2504320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3769920).

2504320 is an abundant number, since it is smaller than the sum of its proper divisors (5035520).

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

2504320 is a wasteful number, since it uses less digits than its factorization.

2504320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 2504320 is about 1582.5043443858. The cubic root of 2504320 is about 135.7990110714.

2504320 divided by its sum of digits (16) gives a triangular number (156520 = T₅₅₉).

Adding to 2504320 its reverse (234052), we get a palindrome (2738372).

The spelling of 2504320 in words is "two million, five hundred four thousand, three hundred twenty".