2134091868480 has 2016 divisors, whose sum is σ = 9030658291200. Its totient is φ = 459257610240.

The previous prime is 2134091868473. The next prime is 2134091868529. The reversal of 2134091868480 is 848681904312.

It is a happy number.

2134091868480 is a `hidden beast` number, since 2 + 1 + 3 + 409 + 1 + 86 + 84 + 80 = 666.

It is a super-2 number, since 2×2134091868480² (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 287 ways as a sum of consecutive naturals, for example, 23978560276 + ... + 23978560364.

It is an arithmetic number, because the mean of its divisors is an integer number (4479493200).

Almost surely, 2^{2134091868480} is an apocalyptic number.

2134091868480 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 2134091868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4515329145600).

2134091868480 is an abundant number, since it is smaller than the sum of its proper divisors (6896566422720).

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

2134091868480 is a wasteful number, since it uses less digits than its factorization.

2134091868480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 2134091868480 in words is "two trillion, one hundred thirty-four billion, ninety-one million, eight hundred sixty-eight thousand, four hundred eighty".