2165820800 has 192 divisors, whose sum is σ = 6286941360. Its totient is φ = 726835200.

The previous prime is 2165820751. The next prime is 2165820803. The reversal of 2165820800 is 80285612.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2165820803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 455234 + ... + 459966.

Almost surely, 2^2165820800 is an apocalyptic number.

2165820800 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 2165820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3143470680).

2165820800 is an abundant number, since it is smaller than the sum of its proper divisors (4121120560).

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

2165820800 is a wasteful number, since it uses less digits than its factorization.

2165820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4781 (or 4764 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 2165820800 is about 46538.3798600682. The cubic root of 2165820800 is about 1293.8209330444.

The spelling of 2165820800 in words is "two billion, one hundred sixty-five million, eight hundred twenty thousand, eight hundred".