2538108038400 has 432 divisors, whose sum is σ = 9618716029440. Its totient is φ = 582913843200.

The previous prime is 2538108038377. The next prime is 2538108038441. The reversal of 2538108038400 is 48308018352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3696549 + ... + 4329051.

Almost surely, 2^{2538108038400} is an apocalyptic number.

2538108038400 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 2538108038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4809358014720).

2538108038400 is an abundant number, since it is smaller than the sum of its proper divisors (7080607991040).

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

2538108038400 is a wasteful number, since it uses less digits than its factorization.

2538108038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632562 (or 632543 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 2538108038400 in words is "two trillion, five hundred thirty-eight billion, one hundred eight million, thirty-eight thousand, four hundred".