2734323648 has 112 divisors (see below), whose sum is σ = 8282269440. Its totient is φ = 779894784.

The previous prime is 2734323637. The next prime is 2734323737. The reversal of 2734323648 is 8463234372.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 991840 + ... + 994592.

Almost surely, 2^2734323648 is an apocalyptic number.

2734323648 is a gapful number since it is divisible by the number (28) 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 2734323648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4141134720).

2734323648 is an abundant number, since it is smaller than the sum of its proper divisors (5547945792).

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

2734323648 is a wasteful number, since it uses less digits than its factorization.

2734323648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3514 (or 3504 counting only the distinct ones).

The product of its digits is 580608, while the sum is 42.

The square root of 2734323648 is about 52290.7606370380. The cubic root of 2734323648 is about 1398.3524237314.

The spelling of 2734323648 in words is "two billion, seven hundred thirty-four million, three hundred twenty-three thousand, six hundred forty-eight".