2338039660320 has 1152 divisors, whose sum is σ = 9938325196800. Its totient is φ = 487390224384.

The previous prime is 2338039660277. The next prime is 2338039660361. The reversal of 2338039660320 is 230669308332.

2338039660320 is a `hidden beast` number, since 2 + 3 + 3 + 8 + 0 + 39 + 6 + 603 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6168969891 + ... + 6168970269.

It is an arithmetic number, because the mean of its divisors is an integer number (8627018400).

Almost surely, 2^{2338039660320} is an apocalyptic number.

2338039660320 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 2338039660320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4969162598400).

2338039660320 is an abundant number, since it is smaller than the sum of its proper divisors (7600285536480).

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

2338039660320 is a wasteful number, since it uses less digits than its factorization.

2338039660320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The spelling of 2338039660320 in words is "two trillion, three hundred thirty-eight billion, thirty-nine million, six hundred sixty thousand, three hundred twenty".