2220331434400 has 72 divisors (see below), whose sum is σ = 5433259960044. Its totient is φ = 886022860800.

The previous prime is 2220331434359. The next prime is 2220331434469. The reversal of 2220331434400 is 44341330222.

It can be written as a sum of positive squares in 6 ways, for example, as 37467022096 + 2182864412304 = 193564^2 + 1477452^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2959417 + ... + 3633016.

Almost surely, 2^{2220331434400} is an apocalyptic number.

2220331434400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220331434400 is an abundant number, since it is smaller than the sum of its proper divisors (3212928525644).

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

2220331434400 is a wasteful number, since it uses less digits than its factorization.

2220331434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6592874 (or 6592861 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 2220331434400 its reverse (44341330222), we get a palindrome (2264672764622).

The spelling of 2220331434400 in words is "two trillion, two hundred twenty billion, three hundred thirty-one million, four hundred thirty-four thousand, four hundred".