2424020480 has 320 divisors, whose sum is σ = 7194718080. Its totient is φ = 764411904.

The previous prime is 2424020461. The next prime is 2424020567. The reversal of 2424020480 is 840204242.

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 22238666 + ... + 22238774.

It is an arithmetic number, because the mean of its divisors is an integer number (22483494).

Almost surely, 2^2424020480 is an apocalyptic number.

2424020480 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 2424020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3597359040).

2424020480 is an abundant number, since it is smaller than the sum of its proper divisors (4770697600).

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

2424020480 is a wasteful number, since it uses less digits than its factorization.

2424020480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

The square root of 2424020480 is about 49234.3424857081. The cubic root of 2424020480 is about 1343.3177754494.

The spelling of 2424020480 in words is "two billion, four hundred twenty-four million, twenty thousand, four hundred eighty".