2542401333500 has 288 divisors, whose sum is σ = 7033596897600. Its totient is φ = 797322355200.

The previous prime is 2542401333497. The next prime is 2542401333509. The reversal of 2542401333500 is 53331042452.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542401333509) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13405334 + ... + 13593666.

It is an arithmetic number, because the mean of its divisors is an integer number (24422211450).

Almost surely, 2^{2542401333500} is an apocalyptic number.

2542401333500 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 2542401333500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3516798448800).

2542401333500 is an abundant number, since it is smaller than the sum of its proper divisors (4491195564100).

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

2542401333500 is a wasteful number, since it uses less digits than its factorization.

2542401333500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188414 (or 188395 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

Adding to 2542401333500 its reverse (53331042452), we get a palindrome (2595732375952).

The spelling of 2542401333500 in words is "two trillion, five hundred forty-two billion, four hundred one million, three hundred thirty-three thousand, five hundred".