2538320 has 20 divisors (see below), whose sum is σ = 5901780. Its totient is φ = 1015296.

The previous prime is 2538317. The next prime is 2538323. The reversal of 2538320 is 238352.

2538320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2538317) and next prime (2538323).

It can be written as a sum of positive squares in 2 ways, for example, as 1784896 + 753424 = 1336^2 + 868^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2538323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15785 + ... + 15944.

It is an arithmetic number, because the mean of its divisors is an integer number (295089).

2^2538320 is an apocalyptic number.

2538320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2538320 is an abundant number, since it is smaller than the sum of its proper divisors (3363460).

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

2538320 is a wasteful number, since it uses less digits than its factorization.

2538320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31742 (or 31736 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 2538320 is about 1593.2105949936. The cubic root of 2538320 is about 136.4108108836.

Subtracting from 2538320 its reverse (238352), we obtain a cube (2299968 = 132³).

The spelling of 2538320 in words is "two million, five hundred thirty-eight thousand, three hundred twenty".