2734857216 has 352 divisors, whose sum is σ = 9977569280. Its totient is φ = 720617472.

The previous prime is 2734857211. The next prime is 2734857217. The reversal of 2734857216 is 6127584372.

2734857216 is a `hidden beast` number, since 2 + 73 + 4 + 8 + 572 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2734857211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2515425 + ... + 2516511.

Almost surely, 2^2734857216 is an apocalyptic number.

2734857216 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 2734857216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4988784640).

2734857216 is an abundant number, since it is smaller than the sum of its proper divisors (7242712064).

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

2734857216 is a wasteful number, since it uses less digits than its factorization.

2734857216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1112 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 2734857216 is about 52295.8623219849. The cubic root of 2734857216 is about 1398.4433746301.

The spelling of 2734857216 in words is "two billion, seven hundred thirty-four million, eight hundred fifty-seven thousand, two hundred sixteen".