2424738913920 has 1792 divisors, whose sum is σ = 9663214049280. Its totient is φ = 579400335360.

The previous prime is 2424738913859. The next prime is 2424738913931. The reversal of 2424738913920 is 293198374242.

It is a happy number.

2424738913920 is a `hidden beast` number, since 2 + 4 + 2 + 473 + 89 + 1 + 3 + 92 + 0 = 666.

It is a super-5 number, since 5×2424738913920⁵ (a number of 63 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 12308319262 + ... + 12308319458.

Almost surely, 2^{2424738913920} is an apocalyptic number.

2424738913920 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 2424738913920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4831607024640).

2424738913920 is an abundant number, since it is smaller than the sum of its proper divisors (7238475135360).

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

2424738913920 is a wasteful number, since it uses less digits than its factorization.

2424738913920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 2424738913920 in words is "two trillion, four hundred twenty-four billion, seven hundred thirty-eight million, nine hundred thirteen thousand, nine hundred twenty".