2221434200304 has 240 divisors, whose sum is σ = 7035447619200. Its totient is φ = 672955879680.

The previous prime is 2221434200287. The next prime is 2221434200333. The reversal of 2221434200304 is 4030024341222.

2221434200304 is a `hidden beast` number, since 2 + 2 + 2 + 14 + 342 + 0 + 0 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196598847 + ... + 196610145.

It is an arithmetic number, because the mean of its divisors is an integer number (29314365080).

Almost surely, 2^{2221434200304} is an apocalyptic number.

2221434200304 is a gapful number since it is divisible by the number (24) 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 2221434200304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3517723809600).

2221434200304 is an abundant number, since it is smaller than the sum of its proper divisors (4814013418896).

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

2221434200304 is a wasteful number, since it uses less digits than its factorization.

2221434200304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15930 (or 15912 counting only the distinct ones).

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

Adding to 2221434200304 its reverse (4030024341222), we get a palindrome (6251458541526).

The spelling of 2221434200304 in words is "two trillion, two hundred twenty-one billion, four hundred thirty-four million, two hundred thousand, three hundred four".