2011716722500 has 135 divisors (see below), whose sum is σ = 4646058239361. Its totient is φ = 761824152000.

The previous prime is 2011716722489. The next prime is 2011716722503. The reversal of 2011716722500 is 52276171102.

The square root of 2011716722500 is 1418350.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 733170912516 + 1278545809984 = 856254^2 + 1130728^2 .

It is a super-2 number, since 2×2011716722500² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2011716722503) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1347431754 + ... + 1347433246.

Almost surely, 2^{2011716722500} is an apocalyptic number.

2011716722500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2011716722500 is the 1418350-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011716722500

2011716722500 is an abundant number, since it is smaller than the sum of its proper divisors (2634341516861).

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

2011716722500 is an frugal number, since it uses more digits than its factorization.

2011716722500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3048 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 34.

The spelling of 2011716722500 in words is "two trillion, eleven billion, seven hundred sixteen million, seven hundred twenty-two thousand, five hundred".