2134517856 has 96 divisors (see below), whose sum is σ = 5891810400. Its totient is φ = 675655680.

The previous prime is 2134517849. The next prime is 2134517863. The reversal of 2134517856 is 6587154312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2134517849) and next prime (2134517863).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163540 + ... + 176108.

It is an arithmetic number, because the mean of its divisors is an integer number (61373025).

Almost surely, 2^2134517856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134517856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2945905200).

2134517856 is an abundant number, since it is smaller than the sum of its proper divisors (3757292544).

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

2134517856 is a wasteful number, since it uses less digits than its factorization.

2134517856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12672 (or 12664 counting only the distinct ones).

The product of its digits is 201600, while the sum is 42.

The square root of 2134517856 is about 46200.8425897191. The cubic root of 2134517856 is about 1287.5573945696.

The spelling of 2134517856 in words is "two billion, one hundred thirty-four million, five hundred seventeen thousand, eight hundred fifty-six".