2724472120249 has 16 divisors (see below), whose sum is σ = 3162958419456. Its totient is φ = 2319266118400.

The previous prime is 2724472120219. The next prime is 2724472120313. The reversal of 2724472120249 is 9420212744272.

It is not a de Polignac number, because 2724472120249 - 2⁹ = 2724472119737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2724472120199 and 2724472120208.

It is not an unprimeable number, because it can be changed into a prime (2724472120219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36941257 + ... + 37014934.

It is an arithmetic number, because the mean of its divisors is an integer number (197684901216).

Almost surely, 2^{2724472120249} is an apocalyptic number.

It is an amenable number.

2724472120249 is a deficient number, since it is larger than the sum of its proper divisors (438486299207).

2724472120249 is a wasteful number, since it uses less digits than its factorization.

2724472120249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73956416.

The product of its (nonzero) digits is 903168, while the sum is 46.

The spelling of 2724472120249 in words is "two trillion, seven hundred twenty-four billion, four hundred seventy-two million, one hundred twenty thousand, two hundred forty-nine".