2881846344 has 128 divisors (see below), whose sum is σ = 7968240000. Its totient is φ = 863115264.

The previous prime is 2881846333. The next prime is 2881846351. The reversal of 2881846344 is 4436481882.

2881846344 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 2881846293 and 2881846302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1859682 + ... + 1861230.

It is an arithmetic number, because the mean of its divisors is an integer number (62251875).

Almost surely, 2^2881846344 is an apocalyptic number.

2881846344 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 2881846344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3984120000).

2881846344 is an abundant number, since it is smaller than the sum of its proper divisors (5086393656).

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

2881846344 is a wasteful number, since it uses less digits than its factorization.

2881846344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1727 (or 1723 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 48.

The square root of 2881846344 is about 53682.8309983741. The cubic root of 2881846344 is about 1423.0612961344.

It can be divided in two parts, 288184 and 6344, that added together give a triangular number (294528 = T₇₆₇).

The spelling of 2881846344 in words is "two billion, eight hundred eighty-one million, eight hundred forty-six thousand, three hundred forty-four".