2212364000 has 288 divisors, whose sum is σ = 6838872768. Its totient is φ = 688512000.

The previous prime is 2212363991. The next prime is 2212364029. The reversal of 2212364000 is 4632122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3387674 + ... + 3388326.

It is an arithmetic number, because the mean of its divisors is an integer number (23746086).

Almost surely, 2^2212364000 is an apocalyptic number.

2212364000 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 2212364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3419436384).

2212364000 is an abundant number, since it is smaller than the sum of its proper divisors (4626508768).

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

2212364000 is a wasteful number, since it uses less digits than its factorization.

2212364000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2212364000 is about 47035.7736196610. The cubic root of 2212364000 is about 1303.0233380926.

Adding to 2212364000 its reverse (4632122), we get a palindrome (2216996122).

The spelling of 2212364000 in words is "two billion, two hundred twelve million, three hundred sixty-four thousand".