2781771872 has 96 divisors (see below), whose sum is σ = 6266846880. Its totient is φ = 1203793920.

The previous prime is 2781771871. The next prime is 2781771877.

2781771872 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2781771872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2781771871) 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, 743318 + ... + 747050.

It is an arithmetic number, because the mean of its divisors is an integer number (65279655).

Almost surely, 2^2781771872 is an apocalyptic number.

2781771872 is a gapful number since it is divisible by the number (22) 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 2781771872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3133423440).

2781771872 is an abundant number, since it is smaller than the sum of its proper divisors (3485075008).

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

2781771872 is a wasteful number, since it uses less digits than its factorization.

2781771872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3856 (or 3848 counting only the distinct ones).

The product of its digits is 614656, while the sum is 50.

The square root of 2781771872 is about 52742.5053633215. The cubic root of 2781771872 is about 1406.3945360785.

The spelling of 2781771872 in words is "two billion, seven hundred eighty-one million, seven hundred seventy-one thousand, eight hundred seventy-two".