2212408800 has 324 divisors, whose sum is σ = 9076669056. Its totient is φ = 505612800.

The previous prime is 2212408799. The next prime is 2212408823. The reversal of 2212408800 is 88042122.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 349665 + ... + 355935.

Almost surely, 2^2212408800 is an apocalyptic number.

2212408800 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 2212408800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4538334528).

2212408800 is an abundant number, since it is smaller than the sum of its proper divisors (6864260256).

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

2212408800 is a wasteful number, since it uses less digits than its factorization.

2212408800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6311 (or 6288 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 2212408800 is about 47036.2498505142. The cubic root of 2212408800 is about 1303.0321333679.

The spelling of 2212408800 in words is "two billion, two hundred twelve million, four hundred eight thousand, eight hundred".