2438538120558 has 192 divisors, whose sum is σ = 5750114033664. Its totient is φ = 744657408000.

The previous prime is 2438538120547. The next prime is 2438538120563. The reversal of 2438538120558 is 8550218358342.

It is a happy number.

2438538120558 is a `hidden beast` number, since 2 + 4 + 3 + 8 + 5 + 3 + 81 + 2 + 0 + 558 = 666.

It is a super-3 number, since 3×2438538120558³ (a number of 38 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 516527638 + ... + 516532358.

It is an arithmetic number, because the mean of its divisors is an integer number (29948510592).

Almost surely, 2^{2438538120558} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2438538120558, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2875057016832).

2438538120558 is an abundant number, since it is smaller than the sum of its proper divisors (3311575913106).

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

2438538120558 is a wasteful number, since it uses less digits than its factorization.

2438538120558 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5191 (or 5188 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 2438538120558 in words is "two trillion, four hundred thirty-eight billion, five hundred thirty-eight million, one hundred twenty thousand, five hundred fifty-eight".