2224638211680 has 672 divisors, whose sum is σ = 8055987383808. Its totient is φ = 580102041600.

The previous prime is 2224638211651. The next prime is 2224638211759. The reversal of 2224638211680 is 861128364222.

2224638211680 is a `hidden beast` number, since 2 + 2 + 2 + 4 + 638 + 2 + 1 + 1 + 6 + 8 + 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 (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1358971822 + ... + 1358973458.

It is an arithmetic number, because the mean of its divisors is an integer number (11988076464).

Almost surely, 2^{2224638211680} is an apocalyptic number.

2224638211680 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 2224638211680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4027993691904).

2224638211680 is an abundant number, since it is smaller than the sum of its proper divisors (5831349172128).

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

2224638211680 is a wasteful number, since it uses less digits than its factorization.

2224638211680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 2224638211680 in words is "two trillion, two hundred twenty-four billion, six hundred thirty-eight million, two hundred eleven thousand, six hundred eighty".