2724364032 has 144 divisors (see below), whose sum is σ = 7871918208. Its totient is φ = 831467520.

The previous prime is 2724364021. The next prime is 2724364067. The reversal of 2724364032 is 2304634272.

It is a junction number, because it is equal to n+sod(n) for n = 2724363984 and 2724364002.

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, 1306863 + ... + 1308945.

Almost surely, 2^2724364032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2724364032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3935959104).

2724364032 is an abundant number, since it is smaller than the sum of its proper divisors (5147554176).

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

2724364032 is a wasteful number, since it uses less digits than its factorization.

2724364032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2246 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 33.

The square root of 2724364032 is about 52195.4407204307. The cubic root of 2724364032 is about 1396.6525521769.

The spelling of 2724364032 in words is "two billion, seven hundred twenty-four million, three hundred sixty-four thousand, thirty-two".