2200465200 has 240 divisors, whose sum is σ = 7481592576. Its totient is φ = 551654400.

The previous prime is 2200465171. The next prime is 2200465237. The reversal of 2200465200 is 25640022.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2200465200² = 9684094192822080000, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 1682947 + ... + 1684253.

Almost surely, 2^2200465200 is an apocalyptic number.

2200465200 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 2200465200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3740796288).

2200465200 is an abundant number, since it is smaller than the sum of its proper divisors (5281127376).

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

2200465200 is a wasteful number, since it uses less digits than its factorization.

2200465200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2200465200 is about 46909.1163847711. The cubic root of 2200465200 is about 1300.6831123817.

The spelling of 2200465200 in words is "two billion, two hundred million, four hundred sixty-five thousand, two hundred".