2424468096 has 192 divisors, whose sum is σ = 7389532800. Its totient is φ = 760872960.

The previous prime is 2424468089. The next prime is 2424468139. The reversal of 2424468096 is 6908644242.

2424468096 is a `hidden beast` number, since 2 + 42 + 446 + 80 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5625001 + ... + 5625431.

It is an arithmetic number, because the mean of its divisors is an integer number (38487150).

Almost surely, 2^2424468096 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 2424468096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3694766400).

2424468096 is an abundant number, since it is smaller than the sum of its proper divisors (4965064704).

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

2424468096 is a wasteful number, since it uses less digits than its factorization.

2424468096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 2424468096 is about 49238.8880459338. Note that the first 3 decimals coincide. The cubic root of 2424468096 is about 1343.4004553782.

The spelling of 2424468096 in words is "two billion, four hundred twenty-four million, four hundred sixty-eight thousand, ninety-six".