2212768800 has 576 divisors, whose sum is σ = 8924428800. Its totient is φ = 524620800.

The previous prime is 2212768799. The next prime is 2212768801. The reversal of 2212768800 is 88672122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2212768799) and next prime (2212768801).

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

It is not an unprimeable number, because it can be changed into a prime (2212768801) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 15919131 + ... + 15919269.

It is an arithmetic number, because the mean of its divisors is an integer number (15493800).

Almost surely, 2^2212768800 is an apocalyptic number.

2212768800 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 2212768800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4462214400).

2212768800 is an abundant number, since it is smaller than the sum of its proper divisors (6711660000).

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

2212768800 is a wasteful number, since it uses less digits than its factorization.

2212768800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2212768800 is about 47040.0765305500. The cubic root of 2212768800 is about 1303.1028053774.

The spelling of 2212768800 in words is "two billion, two hundred twelve million, seven hundred sixty-eight thousand, eight hundred".