2830320 has 60 divisors (see below), whose sum is σ = 9507576. Its totient is φ = 754560.

The previous prime is 2830301. The next prime is 2830349. The reversal of 2830320 is 230382.

2830320 = T₂₂₅ + T₂₂₆ + ... + T₃₀₄.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×2830320² = 16021422604800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2830293 and 2830302.

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 11 ways as a sum of consecutive naturals, for example, 1246 + ... + 2685.

2^2830320 is an apocalyptic number.

2830320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2830320 is an abundant number, since it is smaller than the sum of its proper divisors (6677256).

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

2830320 is a wasteful number, since it uses less digits than its factorization.

2830320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3950 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2830320 is about 1682.3554915653. The cubic root of 2830320 is about 141.4528971232.

The spelling of 2830320 in words is "two million, eight hundred thirty thousand, three hundred twenty".