2206828800 has 756 divisors, whose sum is σ = 9141904464. Its totient is φ = 522547200.

The previous prime is 2206828783. The next prime is 2206828831. The reversal of 2206828800 is 88286022.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 51321579 + ... + 51321621.

Almost surely, 2^2206828800 is an apocalyptic number.

2206828800 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 2206828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4570952232).

2206828800 is an abundant number, since it is smaller than the sum of its proper divisors (6935075664).

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

2206828800 is an equidigital number, since it uses as much as digits as its factorization.

2206828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2206828800 is about 46976.8964492121. The cubic root of 2206828800 is about 1301.9357355356.

The spelling of 2206828800 in words is "two billion, two hundred six million, eight hundred twenty-eight thousand, eight hundred".