2338112000 has 320 divisors, whose sum is σ = 7078046976. Its totient is φ = 752025600.

The previous prime is 2338111967. The next prime is 2338112009. The reversal of 2338112000 is 2118332.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2338112009) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7615847 + ... + 7616153.

Almost surely, 2^2338112000 is an apocalyptic number.

2338112000 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 2338112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3539023488).

2338112000 is an abundant number, since it is smaller than the sum of its proper divisors (4739934976).

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

2338112000 is an equidigital number, since it uses as much as digits as its factorization.

2338112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 2338112000 is about 48354.0277536422. The cubic root of 2338112000 is about 1327.2572417830.

The spelling of 2338112000 in words is "two billion, three hundred thirty-eight million, one hundred twelve thousand".