2541520 has 20 divisors (see below), whose sum is σ = 5909220. Its totient is φ = 1016576.

The previous prime is 2541503. The next prime is 2541527. The reversal of 2541520 is 251452.

2541520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 788544 + 1752976 = 888^2 + 1324^2 .

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 (2541527) 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, 15805 + ... + 15964.

It is an arithmetic number, because the mean of its divisors is an integer number (295461).

2^2541520 is an apocalyptic number.

2541520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2541520 is an abundant number, since it is smaller than the sum of its proper divisors (3367700).

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

2541520 is a wasteful number, since it uses less digits than its factorization.

2541520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31782 (or 31776 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 2541520 is about 1594.2145401419. The cubic root of 2541520 is about 136.4681101063.

Adding to 2541520 its reverse (251452), we get a palindrome (2792972).

The spelling of 2541520 in words is "two million, five hundred forty-one thousand, five hundred twenty".