2811981760 has 112 divisors (see below), whose sum is σ = 8055498240. Its totient is φ = 913351680.

The previous prime is 2811981737. The next prime is 2811981769. The reversal of 2811981760 is 671891182.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2811981769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9525 + ... + 75595.

Almost surely, 2^2811981760 is an apocalyptic number.

2811981760 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 2811981760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4027749120).

2811981760 is an abundant number, since it is smaller than the sum of its proper divisors (5243516480).

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

2811981760 is a wasteful number, since it uses less digits than its factorization.

2811981760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66114 (or 66104 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 43.

The square root of 2811981760 is about 53028.1223503152. The cubic root of 2811981760 is about 1411.4673388827.

The spelling of 2811981760 in words is "two billion, eight hundred eleven million, nine hundred eighty-one thousand, seven hundred sixty".