2133450410000 has 400 divisors, whose sum is σ = 6368517222144. Its totient is φ = 674009856000.

The previous prime is 2133450409927. The next prime is 2133450410009. The reversal of 2133450410000 is 140543312.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×2133450410000² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2133450410009) 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 79 ways as a sum of consecutive naturals, for example, 616068269 + ... + 616071731.

Almost surely, 2^{2133450410000} is an apocalyptic number.

2133450410000 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 2133450410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3184258611072).

2133450410000 is an abundant number, since it is smaller than the sum of its proper divisors (4235066812144).

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

2133450410000 is a wasteful number, since it uses less digits than its factorization.

2133450410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4188 (or 4167 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 2133450410000 its reverse (140543312), we get a palindrome (2133590953312).

The spelling of 2133450410000 in words is "two trillion, one hundred thirty-three billion, four hundred fifty million, four hundred ten thousand".