2713786416 has 400 divisors, whose sum is σ = 9268871040. Its totient is φ = 757693440.

The previous prime is 2713786403. The next prime is 2713786489. The reversal of 2713786416 is 6146873172.

2713786416 is a `hidden beast` number, since 27 + 137 + 86 + 416 = 666.

It is a super-2 number, since 2×2713786416² = 14729273423332250112, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11647036 + ... + 11647268.

Almost surely, 2^2713786416 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 2713786416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4634435520).

2713786416 is an abundant number, since it is smaller than the sum of its proper divisors (6555084624).

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

2713786416 is a wasteful number, since it uses less digits than its factorization.

2713786416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 311 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 2713786416 is about 52094.0151648920. The cubic root of 2713786416 is about 1394.8426600207.

The spelling of 2713786416 in words is "two billion, seven hundred thirteen million, seven hundred eighty-six thousand, four hundred sixteen".