2320224480 has 576 divisors, whose sum is σ = 9628476480. Its totient is φ = 520224768.

The previous prime is 2320224469. The next prime is 2320224497. The reversal of 2320224480 is 844220232.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 20532904 + ... + 20533016.

It is an arithmetic number, because the mean of its divisors is an integer number (16716105).

Almost surely, 2^2320224480 is an apocalyptic number.

2320224480 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 2320224480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4814238240).

2320224480 is an abundant number, since it is smaller than the sum of its proper divisors (7308252000).

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

2320224480 is a wasteful number, since it uses less digits than its factorization.

2320224480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 2320224480 is about 48168.7085149685. The cubic root of 2320224480 is about 1323.8638852657.

The spelling of 2320224480 in words is "two billion, three hundred twenty million, two hundred twenty-four thousand, four hundred eighty".