2134393097184 has 384 divisors, whose sum is σ = 6479582376960. Its totient is φ = 691565091840.

The previous prime is 2134393097129. The next prime is 2134393097231. The reversal of 2134393097184 is 4817903934312.

2134393097184 is a `hidden beast` number, since 2 + 1 + 343 + 9 + 30 + 97 + 184 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2134393097184.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 880887397 + ... + 880889819.

It is an arithmetic number, because the mean of its divisors is an integer number (16873912440).

Almost surely, 2^{2134393097184} is an apocalyptic number.

2134393097184 is a gapful number since it is divisible by the number (24) 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 2134393097184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3239791188480).

2134393097184 is an abundant number, since it is smaller than the sum of its proper divisors (4345189279776).

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

2134393097184 is an equidigital number, since it uses as much as digits as its factorization.

2134393097184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2802 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 2134393097184 in words is "two trillion, one hundred thirty-four billion, three hundred ninety-three million, ninety-seven thousand, one hundred eighty-four".