2440755072 has 512 divisors, whose sum is σ = 8812800000. Its totient is φ = 663828480.

The previous prime is 2440755013. The next prime is 2440755077. The reversal of 2440755072 is 2705570442.

It is a happy number.

2440755072 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2440755077) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34376797 + ... + 34376867.

It is an arithmetic number, because the mean of its divisors is an integer number (17212500).

Almost surely, 2^2440755072 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 2440755072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4406400000).

2440755072 is an abundant number, since it is smaller than the sum of its proper divisors (6372044928).

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

2440755072 is an equidigital number, since it uses as much as digits as its factorization.

2440755072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 2440755072 is about 49403.9985426281. The cubic root of 2440755072 is about 1346.4019547444.

The spelling of 2440755072 in words is "two billion, four hundred forty million, seven hundred fifty-five thousand, seventy-two".