2713727016 has 576 divisors, whose sum is σ = 10443585600. Its totient is φ = 646652160.

The previous prime is 2713726973. The next prime is 2713727021. The reversal of 2713727016 is 6107273172.

2713727016 is a `hidden beast` number, since 271 + 372 + 7 + 0 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16648551 + ... + 16648713.

It is an arithmetic number, because the mean of its divisors is an integer number (18131225).

Almost surely, 2^2713727016 is an apocalyptic number.

2713727016 is a gapful number since it is divisible by the number (26) 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 2713727016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5221792800).

2713727016 is an abundant number, since it is smaller than the sum of its proper divisors (7729858584).

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

2713727016 is a wasteful number, since it uses less digits than its factorization.

2713727016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 2713727016 is about 52093.4450386994. The cubic root of 2713727016 is about 1394.8324830643.

The spelling of 2713727016 in words is "two billion, seven hundred thirteen million, seven hundred twenty-seven thousand, sixteen".