2072221301760 has 352 divisors, whose sum is σ = 7004748844800. Its totient is φ = 521404416000.

The previous prime is 2072221301719. The next prime is 2072221301767. The reversal of 2072221301760 is 671031222702.

It is a super-2 number, since 2×2072221301760² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2072221301767) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 73237696 + ... + 73265984.

Almost surely, 2^{2072221301760} is an apocalyptic number.

2072221301760 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 2072221301760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3502374422400).

2072221301760 is an abundant number, since it is smaller than the sum of its proper divisors (4932527543040).

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

2072221301760 is a wasteful number, since it uses less digits than its factorization.

2072221301760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28587 (or 28569 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The spelling of 2072221301760 in words is "two trillion, seventy-two billion, two hundred twenty-one million, three hundred one thousand, seven hundred sixty".