2430216736 has 48 divisors (see below), whose sum is σ = 5044757760. Its totient is φ = 1149223680.

The previous prime is 2430216713. The next prime is 2430216743. The reversal of 2430216736 is 6376120342.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 398865 + ... + 404911.

It is an arithmetic number, because the mean of its divisors is an integer number (105099120).

Almost surely, 2^2430216736 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 2430216736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2522378880).

2430216736 is an abundant number, since it is smaller than the sum of its proper divisors (2614541024).

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

2430216736 is a wasteful number, since it uses less digits than its factorization.

2430216736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6737 (or 6729 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 34.

The square root of 2430216736 is about 49297.2284819340. The cubic root of 2430216736 is about 1344.4613932208.

The spelling of 2430216736 in words is "two billion, four hundred thirty million, two hundred sixteen thousand, seven hundred thirty-six".