2173161600 has 288 divisors, whose sum is σ = 7887830340. Its totient is φ = 569548800.

The previous prime is 2173161577. The next prime is 2173161611. The reversal of 2173161600 is 61613712.

2173161600 is a `hidden beast` number, since 2 + 17 + 31 + 616 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 455224896 + 1717936704 = 21336^2 + 41448^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1756182 + ... + 1757418.

Almost surely, 2^2173161600 is an apocalyptic number.

2173161600 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 2173161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3943915170).

2173161600 is an abundant number, since it is smaller than the sum of its proper divisors (5714668740).

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

2173161600 is a wasteful number, since it uses less digits than its factorization.

2173161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 2173161600 is about 46617.1813819755. The cubic root of 2173161600 is about 1295.2810369819.

The spelling of 2173161600 in words is "two billion, one hundred seventy-three million, one hundred sixty-one thousand, six hundred".