2206963200 has 240 divisors, whose sum is σ = 7853153616. Its totient is φ = 543129600.

The previous prime is 2206963177. The next prime is 2206963237. The reversal of 2206963200 is 23696022.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 496990 + ... + 501410.

Almost surely, 2^2206963200 is an apocalyptic number.

2206963200 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 2206963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3926576808).

2206963200 is an abundant number, since it is smaller than the sum of its proper divisors (5646190416).

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

2206963200 is a wasteful number, since it uses less digits than its factorization.

2206963200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4465 (or 4444 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 2206963200 is about 46978.3269178459. The cubic root of 2206963200 is about 1301.9621651059.

The spelling of 2206963200 in words is "two billion, two hundred six million, nine hundred sixty-three thousand, two hundred".