2304216640 has 224 divisors, whose sum is σ = 6373002240. Its totient is φ = 784742400.

The previous prime is 2304216617. The next prime is 2304216641. The reversal of 2304216640 is 466124032.

It is a junction number, because it is equal to n+sod(n) for n = 2304216599 and 2304216608.

It is not an unprimeable number, because it can be changed into a prime (2304216641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8761149 + ... + 8761411.

Almost surely, 2^2304216640 is an apocalyptic number.

2304216640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2304216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3186501120).

2304216640 is an abundant number, since it is smaller than the sum of its proper divisors (4068785600).

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

2304216640 is a wasteful number, since it uses less digits than its factorization.

2304216640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 2304216640 is about 48002.2566136218. The cubic root of 2304216640 is about 1320.8122946447.

The spelling of 2304216640 in words is "two billion, three hundred four million, two hundred sixteen thousand, six hundred forty".