2440740456 has 768 divisors, whose sum is σ = 9704448000. Its totient is φ = 534159360.

The previous prime is 2440740403. The next prime is 2440740457. The reversal of 2440740456 is 6540470442.

2440740456 is a `hidden beast` number, since 244 + 0 + 7 + 404 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2440740456.

It is not an unprimeable number, because it can be changed into a prime (2440740457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 51930625 + ... + 51930671.

It is an arithmetic number, because the mean of its divisors is an integer number (12636000).

Almost surely, 2^2440740456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2440740456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4852224000).

2440740456 is an abundant number, since it is smaller than the sum of its proper divisors (7263707544).

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

2440740456 is a wasteful number, since it uses less digits than its factorization.

2440740456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 2440740456 is about 49403.8506191572. The cubic root of 2440740456 is about 1346.3992671812.

The spelling of 2440740456 in words is "two billion, four hundred forty million, seven hundred forty thousand, four hundred fifty-six".