2834880 has 56 divisors (see below), whose sum is σ = 9003792. Its totient is φ = 755712.

The previous prime is 2834873. The next prime is 2834893. The reversal of 2834880 is 884382.

It is a super-2 number, since 2×2834880² = 16073089228800, 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, 517 + ... + 2436.

It is an arithmetic number, because the mean of its divisors is an integer number (160782).

2^2834880 is an apocalyptic number.

2834880 is a gapful number since it is divisible by the number (20) 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 2834880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4501896).

2834880 is an abundant number, since it is smaller than the sum of its proper divisors (6168912).

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

2834880 is a wasteful number, since it uses less digits than its factorization.

2834880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2973 (or 2963 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 2834880 is about 1683.7101888389. The cubic root of 2834880 is about 141.5288224738.

The spelling of 2834880 in words is "two million, eight hundred thirty-four thousand, eight hundred eighty".