2129295168 has 448 divisors, whose sum is σ = 8411504640. Its totient is φ = 510105600.

The previous prime is 2129295151. The next prime is 2129295187. The reversal of 2129295168 is 8615929212.

It is a happy number.

2129295168 is a `hidden beast` number, since 2 + 129 + 2 + 9 + 516 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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, 1729113 + ... + 1730343.

It is an arithmetic number, because the mean of its divisors is an integer number (18775680).

Almost surely, 2^2129295168 is an apocalyptic number.

2129295168 is a gapful number since it is divisible by the number (28) 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 2129295168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4205752320).

2129295168 is an abundant number, since it is smaller than the sum of its proper divisors (6282209472).

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

2129295168 is a wasteful number, since it uses less digits than its factorization.

2129295168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1267 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 2129295168 is about 46144.2864068782. The cubic root of 2129295168 is about 1286.5064152333.

The spelling of 2129295168 in words is "two billion, one hundred twenty-nine million, two hundred ninety-five thousand, one hundred sixty-eight".