2338114560 has 264 divisors, whose sum is σ = 7787868816. Its totient is φ = 598671360.

The previous prime is 2338114501. The next prime is 2338114579. The reversal of 2338114560 is 654118332.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12917670 + ... + 12917850.

Almost surely, 2^2338114560 is an apocalyptic number.

2338114560 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 2338114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3893934408).

2338114560 is an abundant number, since it is smaller than the sum of its proper divisors (5449754256).

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

2338114560 is a wasteful number, since it uses less digits than its factorization.

2338114560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 2338114560 is about 48354.0542250596. The cubic root of 2338114560 is about 1327.2577261877.

The spelling of 2338114560 in words is "two billion, three hundred thirty-eight million, one hundred fourteen thousand, five hundred sixty".