2881339776 has 480 divisors, whose sum is σ = 10419116400. Its totient is φ = 773369856.

The previous prime is 2881339723. The next prime is 2881339777. The reversal of 2881339776 is 6779331882.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2881339777) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 77874030 + ... + 77874066.

Almost surely, 2^2881339776 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 2881339776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5209558200).

2881339776 is an abundant number, since it is smaller than the sum of its proper divisors (7537776624).

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

2881339776 is an equidigital number, since it uses as much as digits as its factorization.

2881339776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 78 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 2881339776 is about 53678.1126344807. The cubic root of 2881339776 is about 1422.9779098291.

The spelling of 2881339776 in words is "two billion, eight hundred eighty-one million, three hundred thirty-nine thousand, seven hundred seventy-six".