2234220314400 has 216 divisors, whose sum is σ = 8070577020324. Its totient is φ = 581260492800.

The previous prime is 2234220314353. The next prime is 2234220314411. The reversal of 2234220314400 is 44130224322.

2234220314400 is a `hidden beast` number, since 2 + 2 + 3 + 4 + 220 + 31 + 4 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 239109264144 + 1995111050256 = 488988^2 + 1412484^2 .

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 35 ways as a sum of consecutive naturals, for example, 3489049 + ... + 4079448.

Almost surely, 2^{2234220314400} is an apocalyptic number.

2234220314400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2234220314400 is an abundant number, since it is smaller than the sum of its proper divisors (5836356705924).

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

2234220314400 is a wasteful number, since it uses less digits than its factorization.

2234220314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7568564 (or 7568548 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 2234220314400 its reverse (44130224322), we get a palindrome (2278350538722).

The spelling of 2234220314400 in words is "two trillion, two hundred thirty-four billion, two hundred twenty million, three hundred fourteen thousand, four hundred".