2224073028672 has 1008 divisors, whose sum is σ = 7906252798080. Its totient is φ = 616844574720.

The previous prime is 2224073028643. The next prime is 2224073028761. The reversal of 2224073028672 is 2768203704222.

2224073028672 is a `hidden beast` number, since 22 + 240 + 7 + 302 + 86 + 7 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1183646229 + ... + 1183648107.

It is an arithmetic number, because the mean of its divisors is an integer number (7843504760).

Almost surely, 2^{2224073028672} is an apocalyptic number.

2224073028672 is a gapful number since it is divisible by the number (22) 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 2224073028672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3953126399040).

2224073028672 is an abundant number, since it is smaller than the sum of its proper divisors (5682179769408).

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

2224073028672 is a wasteful number, since it uses less digits than its factorization.

2224073028672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 2224073028672 in words is "two trillion, two hundred twenty-four billion, seventy-three million, twenty-eight thousand, six hundred seventy-two".