2101271760 has 320 divisors, whose sum is σ = 8540405760. Its totient is φ = 464693760.

The previous prime is 2101271759. The next prime is 2101271813. The reversal of 2101271760 is 671721012.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 466479 + ... + 470961.

It is an arithmetic number, because the mean of its divisors is an integer number (26688768).

Almost surely, 2^2101271760 is an apocalyptic number.

2101271760 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 2101271760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4270202880).

2101271760 is an abundant number, since it is smaller than the sum of its proper divisors (6439134000).

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

2101271760 is a wasteful number, since it uses less digits than its factorization.

2101271760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4543 (or 4531 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 2101271760 is about 45839.6308885663. The cubic root of 2101271760 is about 1280.8376190687.

Adding to 2101271760 its reverse (671721012), we get a palindrome (2772992772).

The spelling of 2101271760 in words is "two billion, one hundred one million, two hundred seventy-one thousand, seven hundred sixty".