2126342360800 has 576 divisors, whose sum is σ = 6508034709120. Its totient is φ = 661782528000.

The previous prime is 2126342360797. The next prime is 2126342360801. The reversal of 2126342360800 is 80632436212.

It is a self number, because there is not a number n which added to its sum of digits gives 2126342360800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2126342360801) 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, 347381740 + ... + 347387860.

It is an arithmetic number, because the mean of its divisors is an integer number (11298671370).

Almost surely, 2^{2126342360800} is an apocalyptic number.

2126342360800 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 2126342360800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3254017354560).

2126342360800 is an abundant number, since it is smaller than the sum of its proper divisors (4381692348320).

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

2126342360800 is a wasteful number, since it uses less digits than its factorization.

2126342360800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6295 (or 6282 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The spelling of 2126342360800 in words is "two trillion, one hundred twenty-six billion, three hundred forty-two million, three hundred sixty thousand, eight hundred".