2724687216 has 120 divisors (see below), whose sum is σ = 7894209024. Its totient is φ = 876378240.

The previous prime is 2724687211. The next prime is 2724687233. The reversal of 2724687216 is 6127864272.

It is a happy number.

2724687216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2724687211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2084035 + ... + 2085341.

Almost surely, 2^2724687216 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 2724687216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3947104512).

2724687216 is an abundant number, since it is smaller than the sum of its proper divisors (5169521808).

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

2724687216 is a wasteful number, since it uses less digits than its factorization.

2724687216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1819 (or 1810 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 2724687216 is about 52198.5365312094. The cubic root of 2724687216 is about 1396.7077770424.

The spelling of 2724687216 in words is "two billion, seven hundred twenty-four million, six hundred eighty-seven thousand, two hundred sixteen".