2734929120 has 648 divisors, whose sum is σ = 11382234696. Its totient is φ = 549964800.

The previous prime is 2734929091. The next prime is 2734929139. The reversal of 2734929120 is 219294372.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 88223505 + ... + 88223535.

It is an arithmetic number, because the mean of its divisors is an integer number (17565177).

Almost surely, 2^2734929120 is an apocalyptic number.

2734929120 is a gapful number since it is divisible by the number (20) 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 2734929120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5691117348).

2734929120 is an abundant number, since it is smaller than the sum of its proper divisors (8647305576).

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

2734929120 is a wasteful number, since it uses less digits than its factorization.

2734929120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 2734929120 is about 52296.5497905933. The cubic root of 2734929120 is about 1398.4556303329.

The spelling of 2734929120 in words is "two billion, seven hundred thirty-four million, nine hundred twenty-nine thousand, one hundred twenty".