2440462752 has 576 divisors, whose sum is σ = 9356256000. Its totient is φ = 588736512.

The previous prime is 2440462747. The next prime is 2440462753. The reversal of 2440462752 is 2572640442.

2440462752 is a `hidden beast` number, since 24 + 4 + 0 + 4 + 627 + 5 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2440462753) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84153874 + ... + 84153902.

It is an arithmetic number, because the mean of its divisors is an integer number (16243500).

Almost surely, 2^2440462752 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 2440462752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4678128000).

2440462752 is an abundant number, since it is smaller than the sum of its proper divisors (6915793248).

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

2440462752 is a wasteful number, since it uses less digits than its factorization.

2440462752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 73 counting only the distinct ones).

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

The square root of 2440462752 is about 49401.0399890529. The cubic root of 2440462752 is about 1346.3482014424.

The spelling of 2440462752 in words is "two billion, four hundred forty million, four hundred sixty-two thousand, seven hundred fifty-two".