2538183144960 has 600 divisors, whose sum is σ = 9346919147280. Its totient is φ = 636551233536.

The previous prime is 2538183144941. The next prime is 2538183144961. The reversal of 2538183144960 is 694413818352.

It is a happy number.

2538183144960 is a `hidden beast` number, since 2 + 538 + 1 + 8 + 3 + 1 + 4 + 49 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2538183144897 and 2538183144906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2538183144961) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1924323181 + ... + 1924324499.

Almost surely, 2^{2538183144960} is an apocalyptic number.

2538183144960 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 2538183144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4673459573640).

2538183144960 is an abundant number, since it is smaller than the sum of its proper divisors (6808736002320).

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

2538183144960 is an frugal number, since it uses more digits than its factorization.

2538183144960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 2538183144960 in words is "two trillion, five hundred thirty-eight billion, one hundred eighty-three million, one hundred forty-four thousand, nine hundred sixty".