2724247456 has 48 divisors (see below), whose sum is σ = 6272126784. Its totient is φ = 1140378624.

The previous prime is 2724247441. The next prime is 2724247457. The reversal of 2724247456 is 6547424272.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (2724247457) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 131785 + ... + 151048.

It is an arithmetic number, because the mean of its divisors is an integer number (130669308).

Almost surely, 2^2724247456 is an apocalyptic number.

It is an amenable number.

2724247456 is an abundant number, since it is smaller than the sum of its proper divisors (3547879328).

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

2724247456 is a wasteful number, since it uses less digits than its factorization.

2724247456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282893 (or 282885 counting only the distinct ones).

The product of its digits is 752640, while the sum is 43.

The square root of 2724247456 is about 52194.3239825941. The cubic root of 2724247456 is about 1396.6326308928.

The spelling of 2724247456 in words is "two billion, seven hundred twenty-four million, two hundred forty-seven thousand, four hundred fifty-six".