2883680 has 48 divisors (see below), whose sum is σ = 6940080. Its totient is φ = 1132032.

The previous prime is 2883667. The next prime is 2883697. The reversal of 2883680 is 863882.

It is a super-2 number, since 2×2883680² = 16631220684800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2883680.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10586 + ... + 10854.

It is an arithmetic number, because the mean of its divisors is an integer number (144585).

2^2883680 is an apocalyptic number.

2883680 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 2883680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3470040).

2883680 is an abundant number, since it is smaller than the sum of its proper divisors (4056400).

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

2883680 is a wasteful number, since it uses less digits than its factorization.

2883680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 2883680 is about 1698.1401591153. The cubic root of 2883680 is about 142.3363053102.

The spelling of 2883680 in words is "two million, eight hundred eighty-three thousand, six hundred eighty".