2241209995200 has 1008 divisors, whose sum is σ = 9486451578240. Its totient is φ = 514708992000.

The previous prime is 2241209995187. The next prime is 2241209995247. The reversal of 2241209995200 is 25999021422.

It is a happy number.

2241209995200 is a `hidden beast` number, since 2 + 24 + 12 + 0 + 9 + 99 + 520 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 81245410 + ... + 81272990.

It is an arithmetic number, because the mean of its divisors is an integer number (9411162280).

Almost surely, 2^{2241209995200} is an apocalyptic number.

2241209995200 is a gapful number since it is divisible by the number (20) 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 2241209995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4743225789120).

2241209995200 is an abundant number, since it is smaller than the sum of its proper divisors (7245241583040).

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

2241209995200 is a wasteful number, since it uses less digits than its factorization.

2241209995200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27648 (or 27621 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 2241209995200 in words is "two trillion, two hundred forty-one billion, two hundred nine million, nine hundred ninety-five thousand, two hundred".