2440247040 has 864 divisors, whose sum is σ = 11072920320. Its totient is φ = 503193600.

The previous prime is 2440247039. The next prime is 2440247071. The reversal of 2440247040 is 407420442.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2440246995 and 2440247013.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 18627775 + ... + 18627905.

It is an arithmetic number, because the mean of its divisors is an integer number (12815880).

Almost surely, 2^2440247040 is an apocalyptic number.

2440247040 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 2440247040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5536460160).

2440247040 is an abundant number, since it is smaller than the sum of its proper divisors (8632673280).

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

2440247040 is a wasteful number, since it uses less digits than its factorization.

2440247040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 2440247040 is about 49398.8566669311. The cubic root of 2440247040 is about 1346.3085324602.

Adding to 2440247040 its reverse (407420442), we get a palindrome (2847667482).

The spelling of 2440247040 in words is "two billion, four hundred forty million, two hundred forty-seven thousand, forty".