2134093117680 has 320 divisors, whose sum is σ = 7424417664000. Its totient is φ = 563417607168.

The previous prime is 2134093117661. The next prime is 2134093117703. The reversal of 2134093117680 is 867113904312.

2134093117680 is a `hidden beast` number, since 213 + 40 + 9 + 311 + 7 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88528509 + ... + 88552611.

It is an arithmetic number, because the mean of its divisors is an integer number (23201305200).

Almost surely, 2^{2134093117680} is an apocalyptic number.

2134093117680 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 2134093117680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3712208832000).

2134093117680 is an abundant number, since it is smaller than the sum of its proper divisors (5290324546320).

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

2134093117680 is a wasteful number, since it uses less digits than its factorization.

2134093117680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24533 (or 24521 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 2134093117680 in words is "two trillion, one hundred thirty-four billion, ninety-three million, one hundred seventeen thousand, six hundred eighty".