2542134020300 has 144 divisors (see below), whose sum is σ = 6589571907072. Its totient is φ = 832303296000.

The previous prime is 2542134020297. The next prime is 2542134020317. The reversal of 2542134020300 is 30204312452.

It is a self number, because there is not a number n which added to its sum of digits gives 2542134020300.

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, 9544739 + ... + 9807461.

Almost surely, 2^{2542134020300} is an apocalyptic number.

2542134020300 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 2542134020300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3294785953536).

2542134020300 is an abundant number, since it is smaller than the sum of its proper divisors (4047437886772).

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

2542134020300 is a wasteful number, since it uses less digits than its factorization.

2542134020300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263368 (or 263361 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 2542134020300 its reverse (30204312452), we get a palindrome (2572338332752).

The spelling of 2542134020300 in words is "two trillion, five hundred forty-two billion, one hundred thirty-four million, twenty thousand, three hundred".