2206310400 has 840 divisors, whose sum is σ = 9832421280. Its totient is φ = 477757440.

The previous prime is 2206310339. The next prime is 2206310437. The reversal of 2206310400 is 40136022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×2206310400² = 9735611162296320000, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 116121591 + ... + 116121609.

Almost surely, 2^2206310400 is an apocalyptic number.

2206310400 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 2206310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4916210640).

2206310400 is an abundant number, since it is smaller than the sum of its proper divisors (7626110880).

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

2206310400 is an equidigital number, since it uses as much as digits as its factorization.

2206310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2206310400 is about 46971.3785192643. The cubic root of 2206310400 is about 1301.8337828543.

Adding to 2206310400 its reverse (40136022), we get a palindrome (2246446422).

The spelling of 2206310400 in words is "two billion, two hundred six million, three hundred ten thousand, four hundred".