2438246720 has 448 divisors, whose sum is σ = 7679594496. Its totient is φ = 716636160.

The previous prime is 2438246719. The next prime is 2438246773. The reversal of 2438246720 is 276428342.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×2438246720³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 33400604 + ... + 33400676.

It is an arithmetic number, because the mean of its divisors is an integer number (17141952).

Almost surely, 2^2438246720 is an apocalyptic number.

2438246720 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 2438246720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3839797248).

2438246720 is an abundant number, since it is smaller than the sum of its proper divisors (5241347776).

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

2438246720 is a wasteful number, since it uses less digits than its factorization.

2438246720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 38.

The square root of 2438246720 is about 49378.6058936459. The cubic root of 2438246720 is about 1345.9405664274.

The spelling of 2438246720 in words is "two billion, four hundred thirty-eight million, two hundred forty-six thousand, seven hundred twenty".