2803840 has 64 divisors (see below), whose sum is σ = 7239960. Its totient is φ = 1032192.

The previous prime is 2803837. The next prime is 2803847. The reversal of 2803840 is 483082.

It can be written as a sum of positive squares in 4 ways, for example, as 1420864 + 1382976 = 1192^2 + 1176^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2803847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8152 + ... + 8488.

2^2803840 is an apocalyptic number.

2803840 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 2803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3619980).

2803840 is an abundant number, since it is smaller than the sum of its proper divisors (4436120).

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

2803840 is a wasteful number, since it uses less digits than its factorization.

2803840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 2803840 is about 1674.4670794017. The cubic root of 2803840 is about 141.0103776544.

The spelling of 2803840 in words is "two million, eight hundred three thousand, eight hundred forty".