2165958800 has 60 divisors (see below), whose sum is σ = 5269662720. Its totient is φ = 855404160.

The previous prime is 2165958793. The next prime is 2165958803. The reversal of 2165958800 is 88595612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2165958803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2672 + ... + 65871.

It is an arithmetic number, because the mean of its divisors is an integer number (87827712).

Almost surely, 2^2165958800 is an apocalyptic number.

2165958800 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 2165958800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2634831360).

2165958800 is an abundant number, since it is smaller than the sum of its proper divisors (3103703920).

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

2165958800 is a wasteful number, since it uses less digits than its factorization.

2165958800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68640 (or 68629 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 44.

The square root of 2165958800 is about 46539.8624836817. The cubic root of 2165958800 is about 1293.8484120025.

The spelling of 2165958800 in words is "two billion, one hundred sixty-five million, nine hundred fifty-eight thousand, eight hundred".