2938542385536 has 320 divisors, whose sum is σ = 9107151926400. Its totient is φ = 939516641280.

The previous prime is 2938542385523. The next prime is 2938542385561. The reversal of 2938542385536 is 6355832458392.

2938542385536 is a `hidden beast` number, since 2 + 9 + 3 + 8 + 5 + 42 + 38 + 553 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36278650 + ... + 36359558.

It is an arithmetic number, because the mean of its divisors is an integer number (28459849770).

Almost surely, 2^{2938542385536} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2938542385536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4553575963200).

2938542385536 is an abundant number, since it is smaller than the sum of its proper divisors (6168609540864).

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

2938542385536 is a wasteful number, since it uses less digits than its factorization.

2938542385536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81079 (or 81058 counting only the distinct ones).

The product of its digits is 186624000, while the sum is 63.

The spelling of 2938542385536 in words is "two trillion, nine hundred thirty-eight billion, five hundred forty-two million, three hundred eighty-five thousand, five hundred thirty-six".