2206561200 has 120 divisors (see below), whose sum is σ = 7440446400. Its totient is φ = 557441280.

The previous prime is 2206561187. The next prime is 2206561207. The reversal of 2206561200 is 21656022.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2206561207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25590 + ... + 71189.

It is an arithmetic number, because the mean of its divisors is an integer number (62003720).

Almost surely, 2^2206561200 is an apocalyptic number.

2206561200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2206561200 is an abundant number, since it is smaller than the sum of its proper divisors (5233885200).

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

2206561200 is a wasteful number, since it uses less digits than its factorization.

2206561200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96819 (or 96808 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2206561200 is about 46974.0481542734. The cubic root of 2206561200 is about 1301.8831091778.

The spelling of 2206561200 in words is "two billion, two hundred six million, five hundred sixty-one thousand, two hundred".