2134616795520 has 384 divisors, whose sum is σ = 7484274292320. Its totient is φ = 517109514240.

The previous prime is 2134616795491. The next prime is 2134616795557. The reversal of 2134616795520 is 255976164312.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 458365032 + ... + 458369688.

Almost surely, 2^{2134616795520} is an apocalyptic number.

2134616795520 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 2134616795520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3742137146160).

2134616795520 is an abundant number, since it is smaller than the sum of its proper divisors (5349657496800).

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

2134616795520 is a wasteful number, since it uses less digits than its factorization.

2134616795520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6674 (or 6651 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The spelling of 2134616795520 in words is "two trillion, one hundred thirty-four billion, six hundred sixteen million, seven hundred ninety-five thousand, five hundred twenty".