2938233565440 has 432 divisors, whose sum is σ = 10420145176896. Its totient is φ = 764172288000.

The previous prime is 2938233565411. The next prime is 2938233565441. The reversal of 2938233565440 is 445653328392.

2938233565440 is a `hidden beast` number, since 2 + 9 + 3 + 8 + 2 + 33 + 565 + 4 + 40 = 666.

It is not an unprimeable number, because it can be changed into a prime (2938233565441) 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, 77936995 + ... + 77974685.

It is an arithmetic number, because the mean of its divisors is an integer number (24120706428).

Almost surely, 2^{2938233565440} is an apocalyptic number.

2938233565440 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 2938233565440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5210072588448).

2938233565440 is an abundant number, since it is smaller than the sum of its proper divisors (7481911611456).

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

2938233565440 is a wasteful number, since it uses less digits than its factorization.

2938233565440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37886 (or 37869 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 2938233565440 in words is "two trillion, nine hundred thirty-eight billion, two hundred thirty-three million, five hundred sixty-five thousand, four hundred forty".