2881977984 has 96 divisors (see below), whose sum is σ = 8327067840. Its totient is φ = 956736000.

The previous prime is 2881977971. The next prime is 2881978003. The reversal of 2881977984 is 4897791882.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 284169 + ... + 294135.

It is an arithmetic number, because the mean of its divisors is an integer number (86740290).

Almost surely, 2^2881977984 is an apocalyptic number.

2881977984 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 2881977984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4163533920).

2881977984 is an abundant number, since it is smaller than the sum of its proper divisors (5445089856).

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

2881977984 is a wasteful number, since it uses less digits than its factorization.

2881977984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10238 (or 10223 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 63.

The square root of 2881977984 is about 53684.0570747033. The cubic root of 2881977984 is about 1423.0829638333.

The spelling of 2881977984 in words is "two billion, eight hundred eighty-one million, nine hundred seventy-seven thousand, nine hundred eighty-four".