2165706816 has 112 divisors (see below), whose sum is σ = 7052486784. Its totient is φ = 571170816.

The previous prime is 2165706793. The next prime is 2165706817. The reversal of 2165706816 is 6186075612.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2165706817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44505 + ... + 79448.

It is an arithmetic number, because the mean of its divisors is an integer number (62968632).

Almost surely, 2^2165706816 is an apocalyptic number.

2165706816 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2165706816 is an abundant number, since it is smaller than the sum of its proper divisors (4886779968).

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

2165706816 is a wasteful number, since it uses less digits than its factorization.

2165706816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123988 (or 123978 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 2165706816 is about 46537.1552203183. The cubic root of 2165706816 is about 1293.7982353413.

The spelling of 2165706816 in words is "two billion, one hundred sixty-five million, seven hundred six thousand, eight hundred sixteen".