2222436672400 has 120 divisors (see below), whose sum is σ = 6115770172800. Its totient is φ = 760280801280.

The previous prime is 2222436672397. The next prime is 2222436672419. The reversal of 2222436672400 is 42766342222.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 23 ways as a sum of consecutive naturals, for example, 373317 + ... + 2141083.

It is an arithmetic number, because the mean of its divisors is an integer number (50964751440).

Almost surely, 2^{2222436672400} is an apocalyptic number.

2222436672400 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 2222436672400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3057885086400).

2222436672400 is an abundant number, since it is smaller than the sum of its proper divisors (3893333500400).

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

2222436672400 is a wasteful number, since it uses less digits than its factorization.

2222436672400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768241 (or 1768230 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 40.

The spelling of 2222436672400 in words is "two trillion, two hundred twenty-two billion, four hundred thirty-six million, six hundred seventy-two thousand, four hundred".