2734716816 has 200 divisors, whose sum is σ = 8973592320. Its totient is φ = 797071104.

The previous prime is 2734716811. The next prime is 2734716821. The reversal of 2734716816 is 6186174372.

It is an interprime number because it is at equal distance from previous prime (2734716811) and next prime (2734716821).

It is not an unprimeable number, because it can be changed into a prime (2734716811) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 315841 + ... + 324383.

Almost surely, 2^2734716816 is an apocalyptic number.

2734716816 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 2734716816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4486796160).

2734716816 is an abundant number, since it is smaller than the sum of its proper divisors (6238875504).

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

2734716816 is a wasteful number, since it uses less digits than its factorization.

2734716816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8595 (or 8580 counting only the distinct ones).

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

The square root of 2734716816 is about 52294.5199423420. The cubic root of 2734716816 is about 1398.4194434832.

The spelling of 2734716816 in words is "two billion, seven hundred thirty-four million, seven hundred sixteen thousand, eight hundred sixteen".