2133244400000 has 576 divisors, whose sum is σ = 6235115927040. Its totient is φ = 724792320000.

The previous prime is 2133244399903. The next prime is 2133244400033. The reversal of 2133244400000 is 44423312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2489199572 + ... + 2489200428.

It is an arithmetic number, because the mean of its divisors is an integer number (10824854040).

Almost surely, 2^{2133244400000} is an apocalyptic number.

2133244400000 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 2133244400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3117557963520).

2133244400000 is an abundant number, since it is smaller than the sum of its proper divisors (4101871527040).

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

2133244400000 is an frugal number, since it uses more digits than its factorization.

2133244400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 2133244400000 its reverse (44423312), we get a palindrome (2133288823312).

The spelling of 2133244400000 in words is "two trillion, one hundred thirty-three billion, two hundred forty-four million, four hundred thousand".