2200629836304 has 225 divisors, whose sum is σ = 6455572888413. Its totient is φ = 723734694144.

The previous prime is 2200629836267. The next prime is 2200629836309. The reversal of 2200629836304 is 4036389260022.

It is a happy number.

The square root of 2200629836304 is 1483452.

It is a perfect power (a square), and thus also a powerful number.

2200629836304 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 6 + 2 + 9 + 8 + 3 + 630 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 422567602704 + 1778062233600 = 650052^2 + 1333440^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2200629836304.

It is not an unprimeable number, because it can be changed into a prime (2200629836309) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4752979977 + ... + 4752980439.

Almost surely, 2^{2200629836304} is an apocalyptic number.

2200629836304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2200629836304 is the 1483452-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200629836304

2200629836304 is an abundant number, since it is smaller than the sum of its proper divisors (4254943052109).

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

2200629836304 is an frugal number, since it uses more digits than its factorization.

2200629836304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 2200629836304 in words is "two trillion, two hundred billion, six hundred twenty-nine million, eight hundred thirty-six thousand, three hundred four".