2882041344 has 640 divisors, whose sum is σ = 10999296000. Its totient is φ = 724598784.

The previous prime is 2882041313. The next prime is 2882041361. The reversal of 2882041344 is 4431402882.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2882041299 and 2882041308.

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 63 ways as a sum of consecutive naturals, for example, 36481497 + ... + 36481575.

It is an arithmetic number, because the mean of its divisors is an integer number (17186400).

Almost surely, 2^2882041344 is an apocalyptic number.

2882041344 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 2882041344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5499648000).

2882041344 is an abundant number, since it is smaller than the sum of its proper divisors (8117254656).

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

2882041344 is a wasteful number, since it uses less digits than its factorization.

2882041344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 2882041344 is about 53684.6471907938. The cubic root of 2882041344 is about 1423.0933925361.

The spelling of 2882041344 in words is "two billion, eight hundred eighty-two million, forty-one thousand, three hundred forty-four".