2166091200 has 1344 divisors, whose sum is σ = 10582656000. Its totient is φ = 418037760.

The previous prime is 2166091199. The next prime is 2166091247. The reversal of 2166091200 is 21906612.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 74692786 + ... + 74692814.

It is an arithmetic number, because the mean of its divisors is an integer number (7874000).

Almost surely, 2^2166091200 is an apocalyptic number.

2166091200 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 2166091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5291328000).

2166091200 is an abundant number, since it is smaller than the sum of its proper divisors (8416564800).

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

2166091200 is a wasteful number, since it uses less digits than its factorization.

2166091200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 2166091200 is about 46541.2848984641. The cubic root of 2166091200 is about 1293.8747747753.

Adding to 2166091200 its reverse (21906612), we get a palindrome (2187997812).

The spelling of 2166091200 in words is "two billion, one hundred sixty-six million, ninety-one thousand, two hundred".