2440540224 has 126 divisors (see below), whose sum is σ = 7229943630. Its totient is φ = 787092480.

The previous prime is 2440540187. The next prime is 2440540241. The reversal of 2440540224 is 4220450442.

It can be written as a sum of positive squares in only one way, i.e., 1554882624 + 885657600 = 39432^2 + 29760^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 551332 + ... + 555740.

It is an arithmetic number, because the mean of its divisors is an integer number (57380505).

Almost surely, 2^2440540224 is an apocalyptic number.

2440540224 is a gapful number since it is divisible by the number (24) 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 2440540224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3614971815).

2440540224 is an abundant number, since it is smaller than the sum of its proper divisors (4789403406).

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

2440540224 is a wasteful number, since it uses less digits than its factorization.

2440540224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4489 (or 4445 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The square root of 2440540224 is about 49401.8240958773. The cubic root of 2440540224 is about 1346.3624478095.

Adding to 2440540224 its reverse (4220450442), we get a palindrome (6660990666).

The spelling of 2440540224 in words is "two billion, four hundred forty million, five hundred forty thousand, two hundred twenty-four".