2249173216224 has 768 divisors, whose sum is σ = 7736311296000. Its totient is φ = 628500695040.

The previous prime is 2249173216189. The next prime is 2249173216231. The reversal of 2249173216224 is 4226123719422.

2249173216224 is a `hidden beast` number, since 2 + 2 + 4 + 9 + 17 + 3 + 2 + 1 + 622 + 4 = 666.

2249173216224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2249173216224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1139975302 + ... + 1139977274.

It is an arithmetic number, because the mean of its divisors is an integer number (10073322000).

Almost surely, 2^{2249173216224} is an apocalyptic number.

2249173216224 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 2249173216224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3868155648000).

2249173216224 is an abundant number, since it is smaller than the sum of its proper divisors (5487138079776).

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

2249173216224 is a wasteful number, since it uses less digits than its factorization.

2249173216224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188 (or 2174 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 2249173216224 in words is "two trillion, two hundred forty-nine billion, one hundred seventy-three million, two hundred sixteen thousand, two hundred twenty-four".