2729433120 has 144 divisors (see below), whose sum is σ = 8749726272. Its totient is φ = 715061760.

The previous prime is 2729433089. The next prime is 2729433149. The reversal of 2729433120 is 213349272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9644499 + ... + 9644781.

It is an arithmetic number, because the mean of its divisors is an integer number (60761988).

Almost surely, 2^2729433120 is an apocalyptic number.

2729433120 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 2729433120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4374863136).

2729433120 is an abundant number, since it is smaller than the sum of its proper divisors (6020293152).

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

2729433120 is an equidigital number, since it uses as much as digits as its factorization.

2729433120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 2729433120 is about 52243.9768777225. The cubic root of 2729433120 is about 1397.5182426844.

The spelling of 2729433120 in words is "two billion, seven hundred twenty-nine million, four hundred thirty-three thousand, one hundred twenty".