2160345600 has 960 divisors, whose sum is σ = 9742233600. Its totient is φ = 457850880.

The previous prime is 2160345599. The next prime is 2160345611. The reversal of 2160345600 is 65430612.

2160345600 is a `hidden beast` number, since 2 + 1 + 603 + 4 + 56 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×2160345600² = 9334186222878720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45964777 + ... + 45964823.

It is an arithmetic number, because the mean of its divisors is an integer number (10148160).

Almost surely, 2^2160345600 is an apocalyptic number.

2160345600 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 2160345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4871116800).

2160345600 is an abundant number, since it is smaller than the sum of its proper divisors (7581888000).

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

2160345600 is a wasteful number, since it uses less digits than its factorization.

2160345600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2160345600 is about 46479.5180697907. The cubic root of 2160345600 is about 1292.7297522526.

The spelling of 2160345600 in words is "two billion, one hundred sixty million, three hundred forty-five thousand, six hundred".