2724880 has 20 divisors (see below), whose sum is σ = 6335532. Its totient is φ = 1089920.

The previous prime is 2724877. The next prime is 2724929. The reversal of 2724880 is 884272.

It can be written as a sum of positive squares in 2 ways, for example, as 278784 + 2446096 = 528^2 + 1564^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 16951 + ... + 17110.

2^2724880 is an apocalyptic number.

2724880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2724880 is an abundant number, since it is smaller than the sum of its proper divisors (3610652).

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

2724880 is a wasteful number, since it uses less digits than its factorization.

2724880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34074 (or 34068 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 2724880 is about 1650.7210545698. The cubic root of 2724880 is about 139.6740717406.

The spelling of 2724880 in words is "two million, seven hundred twenty-four thousand, eight hundred eighty".