2164895600 has 120 divisors (see below), whose sum is σ = 6293981088. Its totient is φ = 698572800.

The previous prime is 2164895581. The next prime is 2164895639. The reversal of 2164895600 is 65984612.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24860 + ... + 70340.

Almost surely, 2^2164895600 is an apocalyptic number.

2164895600 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 2164895600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3146990544).

2164895600 is an abundant number, since it is smaller than the sum of its proper divisors (4129085488).

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

2164895600 is a wasteful number, since it uses less digits than its factorization.

2164895600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45523 (or 45512 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 2164895600 is about 46528.4386155392. The cubic root of 2164895600 is about 1293.6366743991.

The spelling of 2164895600 in words is "two billion, one hundred sixty-four million, eight hundred ninety-five thousand, six hundred".