2212223402400 has 288 divisors, whose sum is σ = 8126283009600. Its totient is φ = 517803417600.

The previous prime is 2212223402387. The next prime is 2212223402401. The reversal of 2212223402400 is 42043222122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2212223402401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 679165 + ... + 2210364.

It is an arithmetic number, because the mean of its divisors is an integer number (28216260450).

Almost surely, 2^{2212223402400} is an apocalyptic number.

2212223402400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212223402400 is an abundant number, since it is smaller than the sum of its proper divisors (5914059607200).

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

2212223402400 is a wasteful number, since it uses less digits than its factorization.

2212223402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2889592 (or 2889579 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 2212223402400 its reverse (42043222122), we get a palindrome (2254266624522).

The spelling of 2212223402400 in words is "two trillion, two hundred twelve billion, two hundred twenty-three million, four hundred two thousand, four hundred".