2338024080 has 320 divisors, whose sum is σ = 8807293440. Its totient is φ = 501645312.

The previous prime is 2338024069. The next prime is 2338024147. The reversal of 2338024080 is 804208332.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1801992 + ... + 1803288.

It is an arithmetic number, because the mean of its divisors is an integer number (27522792).

Almost surely, 2^2338024080 is an apocalyptic number.

2338024080 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 2338024080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4403646720).

2338024080 is an abundant number, since it is smaller than the sum of its proper divisors (6469269360).

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

2338024080 is a wasteful number, since it uses less digits than its factorization.

2338024080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 2338024080 is about 48353.1186171068. The cubic root of 2338024080 is about 1327.2406052946.

The spelling of 2338024080 in words is "two billion, three hundred thirty-eight million, twenty-four thousand, eighty".