2338029360 has 240 divisors, whose sum is σ = 8215474176. Its totient is φ = 617912064.

The previous prime is 2338029347. The next prime is 2338029367. The reversal of 2338029360 is 639208332.

2338029360 is a `hidden beast` number, since 233 + 80 + 293 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2338029367) 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, 2468407 + ... + 2469353.

Almost surely, 2^2338029360 is an apocalyptic number.

2338029360 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 2338029360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4107737088).

2338029360 is an abundant number, since it is smaller than the sum of its proper divisors (5877444816).

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

2338029360 is a wasteful number, since it uses less digits than its factorization.

2338029360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 2338029360 is about 48353.1732154158. The cubic root of 2338029360 is about 1327.2416044039.

The spelling of 2338029360 in words is "two billion, three hundred thirty-eight million, twenty-nine thousand, three hundred sixty".