2160864000 has 576 divisors, whose sum is σ = 8303218560. Its totient is φ = 552960000.

The previous prime is 2160863989. The next prime is 2160864001. The reversal of 2160864000 is 4680612.

2160864000 is a `hidden beast` number, since 2 + 16 + 0 + 8 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (2160864001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35423970 + ... + 35424030.

It is an arithmetic number, because the mean of its divisors is an integer number (14415310).

Almost surely, 2^2160864000 is an apocalyptic number.

2160864000 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 2160864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4151609280).

2160864000 is an abundant number, since it is smaller than the sum of its proper divisors (6142354560).

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

2160864000 is an equidigital number, since it uses as much as digits as its factorization.

2160864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2160864000 is about 46485.0943851898. The cubic root of 2160864000 is about 1292.8331458188.

It can be divided in two parts, 2160 and 864000, that multiplied together give a square (1866240000 = 43200²).

The spelling of 2160864000 in words is "two billion, one hundred sixty million, eight hundred sixty-four thousand".