2173813200 has 450 divisors, whose sum is σ = 8469210354. Its totient is φ = 533744640.

The previous prime is 2173813193. The next prime is 2173813219. The reversal of 2173813200 is 23183712.

It can be written as a sum of positive squares in 9 ways, for example, as 1201870224 + 971942976 = 34668^2 + 31176^2 .

It is a tau number, because it is divible by the number of its divisors (450).

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

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 5475402 + ... + 5475798.

Almost surely, 2^2173813200 is an apocalyptic number.

2173813200 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 2173813200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4234605177).

2173813200 is an abundant number, since it is smaller than the sum of its proper divisors (6295397154).

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

2173813200 is a wasteful number, since it uses less digits than its factorization.

2173813200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2173813200 is about 46624.1696977008. The cubic root of 2173813200 is about 1295.4104829133.

Adding to 2173813200 its reverse (23183712), we get a palindrome (2196996912).

The spelling of 2173813200 in words is "two billion, one hundred seventy-three million, eight hundred thirteen thousand, two hundred".