2206872800 has 288 divisors, whose sum is σ = 6310846080. Its totient is φ = 745113600.

The previous prime is 2206872761. The next prime is 2206872803. The reversal of 2206872800 is 82786022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2206872803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11202302 + ... + 11202498.

It is an arithmetic number, because the mean of its divisors is an integer number (21912660).

Almost surely, 2^2206872800 is an apocalyptic number.

2206872800 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 2206872800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3155423040).

2206872800 is an abundant number, since it is smaller than the sum of its proper divisors (4103973280).

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

2206872800 is a wasteful number, since it uses less digits than its factorization.

2206872800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 2206872800 is about 46977.3647621916. The cubic root of 2206872800 is about 1301.9443881917.

The spelling of 2206872800 in words is "two billion, two hundred six million, eight hundred seventy-two thousand, eight hundred".