2200161600 has 1008 divisors, whose sum is σ = 10180515072. Its totient is φ = 437944320.

The previous prime is 2200161569. The next prime is 2200161617. The reversal of 2200161600 is 61610022.

It is a happy number.

2200161600 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 1 + 61 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×2200161600² = 9681422132229120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30139164 + ... + 30139236.

Almost surely, 2^2200161600 is an apocalyptic number.

2200161600 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 2200161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5090257536).

2200161600 is an abundant number, since it is smaller than the sum of its proper divisors (7980353472).

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

2200161600 is a wasteful number, since it uses less digits than its factorization.

2200161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2200161600 is about 46905.8802283893. The cubic root of 2200161600 is about 1300.6232908562.

Adding to 2200161600 its reverse (61610022), we get a palindrome (2261771622).

The spelling of 2200161600 in words is "two billion, two hundred million, one hundred sixty-one thousand, six hundred".