2168887200 has 432 divisors, whose sum is σ = 7770440160. Its totient is φ = 525025280.

The previous prime is 2168887169. The next prime is 2168887211. The reversal of 2168887200 is 27888612.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36760771 + ... + 36760829.

It is an arithmetic number, because the mean of its divisors is an integer number (17987130).

Almost surely, 2^2168887200 is an apocalyptic number.

2168887200 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 2168887200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3885220080).

2168887200 is an abundant number, since it is smaller than the sum of its proper divisors (5601552960).

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

2168887200 is a wasteful number, since it uses less digits than its factorization.

2168887200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 2168887200 is about 46571.3130585772. The cubic root of 2168887200 is about 1294.4312484848.

The spelling of 2168887200 in words is "two billion, one hundred sixty-eight million, eight hundred eighty-seven thousand, two hundred".