2133452240000 has 480 divisors, whose sum is σ = 5788585059840. Its totient is φ = 782058240000.

The previous prime is 2133452239999. The next prime is 2133452240011. The reversal of 2133452240000 is 422543312.

It is a super-2 number, since 2×2133452240000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 895278809 + ... + 895281191.

It is an arithmetic number, because the mean of its divisors is an integer number (12059552208).

Almost surely, 2^{2133452240000} is an apocalyptic number.

2133452240000 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 2133452240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2894292529920).

2133452240000 is an abundant number, since it is smaller than the sum of its proper divisors (3655132819840).

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

2133452240000 is an equidigital number, since it uses as much as digits as its factorization.

2133452240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2486 (or 2440 counting only the distinct ones).

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

Adding to 2133452240000 its reverse (422543312), we get a palindrome (2133874783312).

The spelling of 2133452240000 in words is "two trillion, one hundred thirty-three billion, four hundred fifty-two million, two hundred forty thousand".