2723847984 has 480 divisors, whose sum is σ = 9827371008. Its totient is φ = 691200000.

The previous prime is 2723847947. The next prime is 2723848003. The reversal of 2723847984 is 4897483272.

It is a happy number.

It is a super-4 number, since 4×2723847984⁴ (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a self number, because there is not a number n which added to its sum of digits gives 2723847984.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10851859 + ... + 10852109.

Almost surely, 2^2723847984 is an apocalyptic number.

2723847984 is a gapful number since it is divisible by the number (24) 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 2723847984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4913685504).

2723847984 is an abundant number, since it is smaller than the sum of its proper divisors (7103523024).

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

2723847984 is a wasteful number, since it uses less digits than its factorization.

2723847984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 328 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 2723847984 is about 52190.4970660368. The cubic root of 2723847984 is about 1396.5643621431.

The spelling of 2723847984 in words is "two billion, seven hundred twenty-three million, eight hundred forty-seven thousand, nine hundred eighty-four".