2384916480 has 416 divisors, whose sum is σ = 8964230400. Its totient is φ = 599851008.

The previous prime is 2384916449. The next prime is 2384916481. The reversal of 2384916480 is 846194832.

It is a happy number.

2384916480 is a `hidden beast` number, since 2 + 3 + 84 + 91 + 6 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2384916481) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10506127 + ... + 10506353.

Almost surely, 2^2384916480 is an apocalyptic number.

2384916480 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 2384916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4482115200).

2384916480 is an abundant number, since it is smaller than the sum of its proper divisors (6579313920).

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

2384916480 is a wasteful number, since it uses less digits than its factorization.

2384916480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2384916480 is about 48835.6066820102. The cubic root of 2384916480 is about 1336.0551688168.

The spelling of 2384916480 in words is "two billion, three hundred eighty-four million, nine hundred sixteen thousand, four hundred eighty".