2206112400 has 90 divisors (see below), whose sum is σ = 7655835330. Its totient is φ = 588295680.

The previous prime is 2206112351. The next prime is 2206112431. The reversal of 2206112400 is 42116022.

It can be written as a sum of positive squares in 3 ways, for example, as 37161216 + 2168951184 = 6096^2 + 46572^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 302805 + ... + 310004.

It is an arithmetic number, because the mean of its divisors is an integer number (85064837).

Almost surely, 2^2206112400 is an apocalyptic number.

2206112400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2206112400 is an abundant number, since it is smaller than the sum of its proper divisors (5449722930).

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

2206112400 is a wasteful number, since it uses less digits than its factorization.

2206112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612833 (or 612819 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2206112400 is about 46969.2708054958. The cubic root of 2206112400 is about 1301.7948383793.

Adding to 2206112400 its reverse (42116022), we get a palindrome (2248228422).

The spelling of 2206112400 in words is "two billion, two hundred six million, one hundred twelve thousand, four hundred".