2056164641 has 16 divisors (see below), whose sum is σ = 2149882560. Its totient is φ = 1964088000.

The previous prime is 2056164631. The next prime is 2056164659. The reversal of 2056164641 is 1464616502.

It is a cyclic number.

It is not a de Polignac number, because 2056164641 - 2⁶ = 2056164577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2056164631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1185611 + ... + 1187343.

It is an arithmetic number, because the mean of its divisors is an integer number (134367660).

Almost surely, 2^2056164641 is an apocalyptic number.

It is an amenable number.

2056164641 is a deficient number, since it is larger than the sum of its proper divisors (93717919).

2056164641 is a wasteful number, since it uses less digits than its factorization.

2056164641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176.

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 2056164641 is about 45344.9516594736. The cubic root of 2056164641 is about 1271.6061768250.

The spelling of 2056164641 in words is "two billion, fifty-six million, one hundred sixty-four thousand, six hundred forty-one".