2532320 has 144 divisors (see below), whose sum is σ = 7756560. Its totient is φ = 774144.

The previous prime is 2532319. The next prime is 2532331. The reversal of 2532320 is 232352.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133271 + ... + 133289.

It is an arithmetic number, because the mean of its divisors is an integer number (53865).

2^2532320 is an apocalyptic number.

2532320 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 2532320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3878280).

2532320 is an abundant number, since it is smaller than the sum of its proper divisors (5224240).

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

2532320 is a wasteful number, since it uses less digits than its factorization.

2532320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 17.

The square root of 2532320 is about 1591.3264906989. The cubic root of 2532320 is about 136.3032449082.

Adding to 2532320 its reverse (232352), we get a palindrome (2764672).

Subtracting from 2532320 its reverse (232352), we obtain a cube (2299968 = 132³).

The spelling of 2532320 in words is "two million, five hundred thirty-two thousand, three hundred twenty".