2438045568 has 240 divisors, whose sum is σ = 8441928000. Its totient is φ = 696439296.

The previous prime is 2438045567. The next prime is 2438045593. The reversal of 2438045568 is 8655408342.

2438045568 is a `hidden beast` number, since 2 + 4 + 3 + 80 + 4 + 5 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2438045567) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 505633 + ... + 510431.

It is an arithmetic number, because the mean of its divisors is an integer number (35174700).

Almost surely, 2^2438045568 is an apocalyptic number.

2438045568 is a gapful number since it is divisible by the number (28) 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 2438045568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4220964000).

2438045568 is an abundant number, since it is smaller than the sum of its proper divisors (6003882432).

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

2438045568 is an equidigital number, since it uses as much as digits as its factorization.

2438045568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4839 (or 4811 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The square root of 2438045568 is about 49376.5690181082. The cubic root of 2438045568 is about 1345.9035526611.

The spelling of 2438045568 in words is "two billion, four hundred thirty-eight million, forty-five thousand, five hundred sixty-eight".