2538746133336 has 896 divisors, whose sum is σ = 8882784768000. Its totient is φ = 663782563584.

The previous prime is 2538746133323. The next prime is 2538746133337. The reversal of 2538746133336 is 6333316478352.

2538746133336 is a `hidden beast` number, since 2 + 538 + 7 + 46 + 1 + 3 + 33 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2538746133337) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3435380055 + ... + 3435380793.

Almost surely, 2^{2538746133336} 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 2538746133336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4441392384000).

2538746133336 is an abundant number, since it is smaller than the sum of its proper divisors (6344038634664).

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

2538746133336 is a wasteful number, since it uses less digits than its factorization.

2538746133336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 916 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 54.

The spelling of 2538746133336 in words is "two trillion, five hundred thirty-eight billion, seven hundred forty-six million, one hundred thirty-three thousand, three hundred thirty-six".