2803680 has 192 divisors, whose sum is σ = 10886400. Its totient is φ = 668160.

The previous prime is 2803679. The next prime is 2803687. The reversal of 2803680 is 863082.

2803680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2803687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47491 + ... + 47549.

It is an arithmetic number, because the mean of its divisors is an integer number (56700).

2^2803680 is an apocalyptic number.

2803680 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 2803680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5443200).

2803680 is an abundant number, since it is smaller than the sum of its proper divisors (8082720).

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

2803680 is a wasteful number, since it uses less digits than its factorization.

2803680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2803680 is about 1674.4193023254. The cubic root of 2803680 is about 141.0076953700.

The spelling of 2803680 in words is "two million, eight hundred three thousand, six hundred eighty".