2729120920 has 64 divisors (see below), whose sum is σ = 6228381600. Its totient is φ = 1076106240.

The previous prime is 2729120909. The next prime is 2729120981. The reversal of 2729120920 is 290219272.

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 15 ways as a sum of consecutive naturals, for example, 1412355 + ... + 1414285.

Almost surely, 2^2729120920 is an apocalyptic number.

2729120920 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 2729120920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3114190800).

2729120920 is an abundant number, since it is smaller than the sum of its proper divisors (3499260680).

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

2729120920 is a wasteful number, since it uses less digits than its factorization.

2729120920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428 (or 2424 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 2729120920 is about 52240.9888880369. The cubic root of 2729120920 is about 1397.4649566707.

The spelling of 2729120920 in words is "two billion, seven hundred twenty-nine million, one hundred twenty thousand, nine hundred twenty".