2134223040000 has 200 divisors, whose sum is σ = 7104858373800. Its totient is φ = 569125888000.

The previous prime is 2134223039969. The next prime is 2134223040077. The reversal of 2134223040000 is 403224312.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 151575 + ... + 2071574.

It is an arithmetic number, because the mean of its divisors is an integer number (35524291869).

Almost surely, 2^{2134223040000} is an apocalyptic number.

2134223040000 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 2134223040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3552429186900).

2134223040000 is an abundant number, since it is smaller than the sum of its proper divisors (4970635333800).

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

2134223040000 is an frugal number, since it uses more digits than its factorization.

2134223040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2223190 (or 2223159 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 2134223040000 its reverse (403224312), we get a palindrome (2134626264312).

The spelling of 2134223040000 in words is "two trillion, one hundred thirty-four billion, two hundred twenty-three million, forty thousand".