2724364368 has 180 divisors, whose sum is σ = 8692471424. Its totient is φ = 825422400.

The previous prime is 2724364367. The next prime is 2724364369. The reversal of 2724364368 is 8634634272.

It is an interprime number because it is at equal distance from previous prime (2724364367) and next prime (2724364369).

It is a super-2 number, since 2×2724364368² = 14844322419256078848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2724364367) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 467553 + ... + 473343.

Almost surely, 2^2724364368 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 2724364368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4346235712).

2724364368 is an abundant number, since it is smaller than the sum of its proper divisors (5968107056).

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

2724364368 is a wasteful number, since it uses less digits than its factorization.

2724364368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5836 (or 5807 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The square root of 2724364368 is about 52195.4439391026. The cubic root of 2724364368 is about 1396.6526095940.

The spelling of 2724364368 in words is "two billion, seven hundred twenty-four million, three hundred sixty-four thousand, three hundred sixty-eight".