2881651968 has 432 divisors, whose sum is σ = 9642447360. Its totient is φ = 820740096.

The previous prime is 2881651939. The next prime is 2881651973. The reversal of 2881651968 is 8691561882.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32378068 + ... + 32378156.

It is an arithmetic number, because the mean of its divisors is an integer number (22320480).

Almost surely, 2^2881651968 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 2881651968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4821223680).

2881651968 is an abundant number, since it is smaller than the sum of its proper divisors (6760795392).

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

2881651968 is a wasteful number, since it uses less digits than its factorization.

2881651968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 177 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 54.

The square root of 2881651968 is about 53681.0205566176. The cubic root of 2881651968 is about 1423.0293010002.

The spelling of 2881651968 in words is "two billion, eight hundred eighty-one million, six hundred fifty-one thousand, nine hundred sixty-eight".