2056071168 has 288 divisors, whose sum is σ = 6490411200. Its totient is φ = 642981888.

The previous prime is 2056071151. The next prime is 2056071209. The reversal of 2056071168 is 8611706502.

2056071168 is a `hidden beast` number, since 20 + 560 + 7 + 11 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19961805 + ... + 19961907.

It is an arithmetic number, because the mean of its divisors is an integer number (22536150).

Almost surely, 2^2056071168 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 2056071168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3245205600).

2056071168 is an abundant number, since it is smaller than the sum of its proper divisors (4434340032).

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

2056071168 is a wasteful number, since it uses less digits than its factorization.

2056071168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 2056071168 is about 45343.9209597053. The cubic root of 2056071168 is about 1271.5869075112.

The spelling of 2056071168 in words is "two billion, fifty-six million, seventy-one thousand, one hundred sixty-eight".