2206612800 has 336 divisors, whose sum is σ = 9194312320. Its totient is φ = 504299520.

The previous prime is 2206612781. The next prime is 2206612817. The reversal of 2206612800 is 82166022.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 298752 + ... + 306048.

Almost surely, 2^2206612800 is an apocalyptic number.

2206612800 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 2206612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4597156160).

2206612800 is an abundant number, since it is smaller than the sum of its proper divisors (6987699520).

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

2206612800 is a wasteful number, since it uses less digits than its factorization.

2206612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7335 (or 7314 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2206612800 is about 46974.5973905046. The cubic root of 2206612800 is about 1301.8932571923.

Adding to 2206612800 its reverse (82166022), we get a palindrome (2288778822).

The spelling of 2206612800 in words is "two billion, two hundred six million, six hundred twelve thousand, eight hundred".