2880040 has 32 divisors (see below), whose sum is σ = 6561000. Its totient is φ = 1137664.

The previous prime is 2880029. The next prime is 2880041. The reversal of 2880040 is 400882.

2880040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2414916 + 465124 = 1554^2 + 682^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2879993 and 2880020.

It is not an unprimeable number, because it can be changed into a prime (2880041) 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 7 ways as a sum of consecutive naturals, for example, 3156 + ... + 3964.

2^2880040 is an apocalyptic number.

2880040 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 2880040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3280500).

2880040 is an abundant number, since it is smaller than the sum of its proper divisors (3680960).

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

2880040 is a wasteful number, since it uses less digits than its factorization.

2880040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 2880040 is about 1697.0680599198. The cubic root of 2880040 is about 142.2763908605.

The spelling of 2880040 in words is "two million, eight hundred eighty thousand, forty".