2881641984 has 240 divisors, whose sum is σ = 8815297392. Its totient is φ = 833224704.

The previous prime is 2881641979. The next prime is 2881642003. The reversal of 2881641984 is 4891461882.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4412602 + ... + 4413254.

Almost surely, 2^2881641984 is an apocalyptic number.

2881641984 is a gapful number since it is divisible by the number (24) 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 2881641984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4407648696).

2881641984 is an abundant number, since it is smaller than the sum of its proper divisors (5933655408).

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

2881641984 is a wasteful number, since it uses less digits than its factorization.

2881641984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 688 counting only the distinct ones).

The product of its digits is 884736, while the sum is 51.

The square root of 2881641984 is about 53680.9275627760. The cubic root of 2881641984 is about 1423.0276575515.

The spelling of 2881641984 in words is "two billion, eight hundred eighty-one million, six hundred forty-one thousand, nine hundred eighty-four".