2034134400000 has 264 divisors, whose sum is σ = 6776735479920. Its totient is φ = 542433280000.

The previous prime is 2034134399981. The next prime is 2034134400007. The reversal of 2034134400000 is 44314302.

It is a self number, because there is not a number n which added to its sum of digits gives 2034134400000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034134400007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9494056 + ... + 9705944.

Almost surely, 2^{2034134400000} is an apocalyptic number.

2034134400000 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 2034134400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3388367739960).

2034134400000 is an abundant number, since it is smaller than the sum of its proper divisors (4742601079920).

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

2034134400000 is an frugal number, since it uses more digits than its factorization.

2034134400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211937 (or 211899 counting only the distinct ones).

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

Adding to 2034134400000 its reverse (44314302), we get a palindrome (2034178714302).

The spelling of 2034134400000 in words is "two trillion, thirty-four billion, one hundred thirty-four million, four hundred thousand".