2530320 has 80 divisors (see below), whose sum is σ = 8457792. Its totient is φ = 622080.

The previous prime is 2530309. The next prime is 2530321. The reversal of 2530320 is 230352.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2530320.

It is not an unprimeable number, because it can be changed into a prime (2530321) 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, 2715 + ... + 3525.

2^2530320 is an apocalyptic number.

2530320 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 2530320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4228896).

2530320 is an abundant number, since it is smaller than the sum of its proper divisors (5927472).

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

2530320 is a wasteful number, since it uses less digits than its factorization.

2530320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 2530320 is about 1590.6979600163. The cubic root of 2530320 is about 136.2673518288.

Adding to 2530320 its reverse (230352), we get a palindrome (2760672).

Subtracting from 2530320 its reverse (230352), we obtain a cube (2299968 = 132³).

It can be divided in two parts, 2530 and 320, that added together give a triangular number (2850 = T₇₅).

The spelling of 2530320 in words is "two million, five hundred thirty thousand, three hundred twenty".