2880480 has 96 divisors (see below), whose sum is σ = 9634464. Its totient is φ = 720896.

The previous prime is 2880473. The next prime is 2880499. The reversal of 2880480 is 840882.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 7984 + ... + 8336.

It is an arithmetic number, because the mean of its divisors is an integer number (100359).

2^2880480 is an apocalyptic number.

2880480 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 2880480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4817232).

2880480 is an abundant number, since it is smaller than the sum of its proper divisors (6753984).

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

2880480 is a wasteful number, since it uses less digits than its factorization.

2880480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 2880480 is about 1697.1976903119. The cubic root of 2880480 is about 142.2836359479.

It can be divided in two parts, 28 and 80480, that added together give a palindrome (80508).

The spelling of 2880480 in words is "two million, eight hundred eighty thousand, four hundred eighty".