2440541520 has 120 divisors (see below), whose sum is σ = 8208365256. Its totient is φ = 649841664.

The previous prime is 2440541443. The next prime is 2440541561. The reversal of 2440541520 is 251450442.

2440541520 is a `hidden beast` number, since 244 + 0 + 5 + 415 + 2 + 0 = 666.

2440541520 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 4 ways, for example, as 17539344 + 2423002176 = 4188^2 + 49224^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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, 571714 + ... + 575966.

Almost surely, 2^2440541520 is an apocalyptic number.

2440541520 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 2440541520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4104182628).

2440541520 is an abundant number, since it is smaller than the sum of its proper divisors (5767823736).

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

2440541520 is a wasteful number, since it uses less digits than its factorization.

2440541520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5069 (or 5060 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 2440541520 is about 49401.8372128001. The cubic root of 2440541520 is about 1346.3626861290.

Adding to 2440541520 its reverse (251450442), we get a palindrome (2691991962).

The spelling of 2440541520 in words is "two billion, four hundred forty million, five hundred forty-one thousand, five hundred twenty".