2724480 has 192 divisors, whose sum is σ = 10501920. Its totient is φ = 645120.

The previous prime is 2724479. The next prime is 2724481. The reversal of 2724480 is 844272.

2724480 = 195² + 196² + ... + 249².

It is an interprime number because it is at equal distance from previous prime (2724479) and next prime (2724481).

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (2724481) 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 23 ways as a sum of consecutive naturals, for example, 63339 + ... + 63381.

2^2724480 is an apocalyptic number.

2724480 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 2724480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5250960).

2724480 is an abundant number, since it is smaller than the sum of its proper divisors (7777440).

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

2724480 is a wasteful number, since it uses less digits than its factorization.

2724480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2724480 is about 1650.5998909487. The cubic root of 2724480 is about 139.6672368998.

The spelling of 2724480 in words is "two million, seven hundred twenty-four thousand, four hundred eighty".