2220521814784 has 432 divisors, whose sum is σ = 5582142578880. Its totient is φ = 863077662720.

The previous prime is 2220521814751. The next prime is 2220521814827. The reversal of 2220521814784 is 4874181250222.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7902212724 + ... + 7902213004.

It is an arithmetic number, because the mean of its divisors is an integer number (12921626340).

Almost surely, 2^{2220521814784} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220521814784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2791071289440).

2220521814784 is an abundant number, since it is smaller than the sum of its proper divisors (3361620764096).

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

2220521814784 is a wasteful number, since it uses less digits than its factorization.

2220521814784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 46.

The spelling of 2220521814784 in words is "two trillion, two hundred twenty billion, five hundred twenty-one million, eight hundred fourteen thousand, seven hundred eighty-four".