2438420320 has 288 divisors, whose sum is σ = 7060193280. Its totient is φ = 792529920.

The previous prime is 2438420317. The next prime is 2438420321. The reversal of 2438420320 is 230248342.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2438420321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19200097 + ... + 19200223.

It is an arithmetic number, because the mean of its divisors is an integer number (24514560).

Almost surely, 2^2438420320 is an apocalyptic number.

2438420320 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 2438420320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3530096640).

2438420320 is an abundant number, since it is smaller than the sum of its proper divisors (4621772960).

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

2438420320 is a wasteful number, since it uses less digits than its factorization.

2438420320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 2438420320 is about 49380.3637086646. The cubic root of 2438420320 is about 1345.9725087428.

Adding to 2438420320 its reverse (230248342), we get a palindrome (2668668662).

The spelling of 2438420320 in words is "two billion, four hundred thirty-eight million, four hundred twenty thousand, three hundred twenty".