2338872382080 has 1280 divisors, whose sum is σ = 9196192051200. Its totient is φ = 563013255168.

The previous prime is 2338872382039. The next prime is 2338872382081. The reversal of 2338872382080 is 802832788332.

2338872382080 is a `hidden beast` number, since 2 + 3 + 388 + 7 + 238 + 20 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2338872382081) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10488216849 + ... + 10488217071.

It is an arithmetic number, because the mean of its divisors is an integer number (7184525040).

Almost surely, 2^{2338872382080} is an apocalyptic number.

2338872382080 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 2338872382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4598096025600).

2338872382080 is an abundant number, since it is smaller than the sum of its proper divisors (6857319669120).

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

2338872382080 is a wasteful number, since it uses less digits than its factorization.

2338872382080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 2338872382080 in words is "two trillion, three hundred thirty-eight billion, eight hundred seventy-two million, three hundred eighty-two thousand, eighty".