2881863648 has 144 divisors (see below), whose sum is σ = 8319270960. Its totient is φ = 946225152.

The previous prime is 2881863641. The next prime is 2881863653. The reversal of 2881863648 is 8463681882.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2881863594 and 2881863603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2881863641) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7725990 + ... + 7726362.

It is an arithmetic number, because the mean of its divisors is an integer number (57772715).

Almost surely, 2^2881863648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2881863648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4159635480).

2881863648 is an abundant number, since it is smaller than the sum of its proper divisors (5437407312).

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

2881863648 is a wasteful number, since it uses less digits than its factorization.

2881863648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 710 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The square root of 2881863648 is about 53682.9921669797. The cubic root of 2881863648 is about 1423.0641443782.

The spelling of 2881863648 in words is "two billion, eight hundred eighty-one million, eight hundred sixty-three thousand, six hundred forty-eight".