2338038743040 has 2400 divisors, whose sum is σ = 11339810143200. Its totient is φ = 448454983680.

The previous prime is 2338038743021. The next prime is 2338038743057. The reversal of 2338038743040 is 403478308332.

2338038743040 is a `hidden beast` number, since 2 + 338 + 0 + 3 + 8 + 7 + 4 + 304 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 179849134074 + ... + 179849134086.

It is an arithmetic number, because the mean of its divisors is an integer number (4724920893).

Almost surely, 2^{2338038743040} is an apocalyptic number.

2338038743040 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 2338038743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5669905071600).

2338038743040 is an abundant number, since it is smaller than the sum of its proper divisors (9001771400160).

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

2338038743040 is an frugal number, since it uses more digits than its factorization.

2338038743040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 2338038743040 in words is "two trillion, three hundred thirty-eight billion, thirty-eight million, seven hundred forty-three thousand, forty".