2011501661720 has 128 divisors (see below), whose sum is σ = 4873646568960. Its totient is φ = 744447621120.

The previous prime is 2011501661707. The next prime is 2011501661761. The reversal of 2011501661720 is 271661051102.

It is a super-2 number, since 2×2011501661720² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16693127 + ... + 16813193.

It is an arithmetic number, because the mean of its divisors is an integer number (38075363820).

Almost surely, 2^{2011501661720} is an apocalyptic number.

2011501661720 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 2011501661720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2436823284480).

2011501661720 is an abundant number, since it is smaller than the sum of its proper divisors (2862144907240).

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

2011501661720 is a wasteful number, since it uses less digits than its factorization.

2011501661720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120513 (or 120509 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 32.

The spelling of 2011501661720 in words is "two trillion, eleven billion, five hundred one million, six hundred sixty-one thousand, seven hundred twenty".