2830944 has 48 divisors (see below), whose sum is σ = 7641648. Its totient is φ = 916992.

The previous prime is 2830939. The next prime is 2830963. The reversal of 2830944 is 4490382.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2830944² = 16028487862272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3154 + ... + 3950.

It is an arithmetic number, because the mean of its divisors is an integer number (159201).

2^2830944 is an apocalyptic number.

2830944 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 2830944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3820824).

2830944 is an abundant number, since it is smaller than the sum of its proper divisors (4810704).

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

2830944 is a wasteful number, since it uses less digits than its factorization.

2830944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 2830944 is about 1682.5409356090. The cubic root of 2830944 is about 141.4632917219.

The spelling of 2830944 in words is "two million, eight hundred thirty thousand, nine hundred forty-four".