2244932856100 has 243 divisors, whose sum is σ = 5478883954201. Its totient is φ = 797820108800.

The previous prime is 2244932856037. The next prime is 2244932856107. The reversal of 2244932856100 is 16582394422.

The square root of 2244932856100 is 1498310.

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

It can be written as a sum of positive squares in 13 ways, for example, as 3229194276 + 2241703661824 = 56826^2 + 1497232^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2244932856107) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 8735147172 + ... + 8735147428.

Almost surely, 2^{2244932856100} is an apocalyptic number.

2244932856100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2244932856100 is the 1498310-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2244932856100

2244932856100 is an abundant number, since it is smaller than the sum of its proper divisors (3233951098101).

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

2244932856100 is a wasteful number, since it uses less digits than its factorization.

2244932856100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The spelling of 2244932856100 in words is "two trillion, two hundred forty-four billion, nine hundred thirty-two million, eight hundred fifty-six thousand, one hundred".