2881739168 has 144 divisors (see below), whose sum is σ = 7314898752. Its totient is φ = 1085644800.

The previous prime is 2881739089. The next prime is 2881739219. The reversal of 2881739168 is 8619371882.

2881739168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2367296 + ... + 2368512.

It is an arithmetic number, because the mean of its divisors is an integer number (50797908).

Almost surely, 2^2881739168 is an apocalyptic number.

2881739168 is a gapful number since it is divisible by the number (28) 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 2881739168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3657449376).

2881739168 is an abundant number, since it is smaller than the sum of its proper divisors (4433159584).

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

2881739168 is a wasteful number, since it uses less digits than its factorization.

2881739168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1268 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 53.

The square root of 2881739168 is about 53681.8327555981. The cubic root of 2881739168 is about 1423.0436546770.

The spelling of 2881739168 in words is "two billion, eight hundred eighty-one million, seven hundred thirty-nine thousand, one hundred sixty-eight".