2830920 has 64 divisors (see below), whose sum is σ = 8778240. Its totient is φ = 729600.

The previous prime is 2830913. The next prime is 2830921. The reversal of 2830920 is 290382.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2830921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3340 + ... + 4100.

It is an arithmetic number, because the mean of its divisors is an integer number (137160).

2^2830920 is an apocalyptic number.

2830920 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 2830920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4389120).

2830920 is an abundant number, since it is smaller than the sum of its proper divisors (5947320).

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

2830920 is a wasteful number, since it uses less digits than its factorization.

2830920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2830920 is about 1682.5338035237. The cubic root of 2830920 is about 141.4628919579.

The spelling of 2830920 in words is "two million, eight hundred thirty thousand, nine hundred twenty".