2200466800 has 240 divisors, whose sum is σ = 6323595264. Its totient is φ = 720000000.

The previous prime is 2200466797. The next prime is 2200466809. The reversal of 2200466800 is 86640022.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200466809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8766675 + ... + 8766925.

Almost surely, 2^2200466800 is an apocalyptic number.

2200466800 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 2200466800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3161797632).

2200466800 is an abundant number, since it is smaller than the sum of its proper divisors (4123128464).

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

2200466800 is a wasteful number, since it uses less digits than its factorization.

2200466800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 2200466800 is about 46909.1334390223. The cubic root of 2200466800 is about 1300.6834276321.

It can be divided in two parts, 22004 and 66800, that added together give a square (88804 = 298²).

The spelling of 2200466800 in words is "two billion, two hundred million, four hundred sixty-six thousand, eight hundred".