2133454400000 has 480 divisors, whose sum is σ = 6643192558464. Its totient is φ = 664934400000.

The previous prime is 2133454399997. The next prime is 2133454400003. The reversal of 2133454400000 is 44543312.

It is an interprime number because it is at equal distance from previous prime (2133454399997) and next prime (2133454400003).

It is not an unprimeable number, because it can be changed into a prime (2133454400003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123191342 + ... + 123208658.

Almost surely, 2^{2133454400000} is an apocalyptic number.

2133454400000 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 2133454400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3321596279232).

2133454400000 is an abundant number, since it is smaller than the sum of its proper divisors (4509738158464).

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

2133454400000 is an frugal number, since it uses more digits than its factorization.

2133454400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17378 (or 17342 counting only the distinct ones).

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

Adding to 2133454400000 its reverse (44543312), we get a palindrome (2133498943312).

The spelling of 2133454400000 in words is "two trillion, one hundred thirty-three billion, four hundred fifty-four million, four hundred thousand".