2406442752 has 432 divisors, whose sum is σ = 8586369792. Its totient is φ = 632586240.

The previous prime is 2406442721. The next prime is 2406442771. The reversal of 2406442752 is 2572446042.

2406442752 is a `hidden beast` number, since 2 + 4 + 0 + 644 + 2 + 7 + 5 + 2 = 666.

2406442752 is digitally balanced in base 2, because in such base 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18369727 + ... + 18369857.

It is an arithmetic number, because the mean of its divisors is an integer number (19875856).

Almost surely, 2^2406442752 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 2406442752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4293184896).

2406442752 is an abundant number, since it is smaller than the sum of its proper divisors (6179927040).

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

2406442752 is a wasteful number, since it uses less digits than its factorization.

2406442752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 227 counting only the distinct ones).

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

The square root of 2406442752 is about 49055.5068468363. The cubic root of 2406442752 is about 1340.0628826212.

Adding to 2406442752 its reverse (2572446042), we get a palindrome (4978888794).

The spelling of 2406442752 in words is "two billion, four hundred six million, four hundred forty-two thousand, seven hundred fifty-two".