2306216160 has 144 divisors (see below), whose sum is σ = 7904070720. Its totient is φ = 612326400.

The previous prime is 2306216153. The next prime is 2306216191. The reversal of 2306216160 is 616126032.

2306216160 is a `hidden beast` number, since 2 + 30 + 621 + 6 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 340810 + ... + 347510.

It is an arithmetic number, because the mean of its divisors is an integer number (54889380).

Almost surely, 2^2306216160 is an apocalyptic number.

2306216160 is a gapful number since it is divisible by the number (20) 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 2306216160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3952035360).

2306216160 is an abundant number, since it is smaller than the sum of its proper divisors (5597854560).

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

2306216160 is a wasteful number, since it uses less digits than its factorization.

2306216160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6961 (or 6950 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2306216160 is about 48023.0794514471. The cubic root of 2306216160 is about 1321.1942360243.

The spelling of 2306216160 in words is "two billion, three hundred six million, two hundred sixteen thousand, one hundred sixty".