2734247664 has 120 divisors (see below), whose sum is σ = 7954542960. Its totient is φ = 909232128.

The previous prime is 2734247627. The next prime is 2734247693. The reversal of 2734247664 is 4667424372.

It is a super-2 number, since 2×2734247664² = 14952220576178913792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2942752 + ... + 2943680.

It is an arithmetic number, because the mean of its divisors is an integer number (66287858).

Almost surely, 2^2734247664 is an apocalyptic number.

2734247664 is a gapful number since it is divisible by the number (24) 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 2734247664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3977271480).

2734247664 is an abundant number, since it is smaller than the sum of its proper divisors (5220295296).

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

2734247664 is an equidigital number, since it uses as much as digits as its factorization.

2734247664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709 (or 1691 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 45.

The square root of 2734247664 is about 52290.0340791627. The cubic root of 2734247664 is about 1398.3394706933.

The spelling of 2734247664 in words is "two billion, seven hundred thirty-four million, two hundred forty-seven thousand, six hundred sixty-four".