2729282688 has 224 divisors, whose sum is σ = 8896582800. Its totient is φ = 826744320.

The previous prime is 2729282681. The next prime is 2729282693. The reversal of 2729282688 is 8862829272.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2729282681) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1025103 + ... + 1027761.

Almost surely, 2^2729282688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2729282688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4448291400).

2729282688 is an abundant number, since it is smaller than the sum of its proper divisors (6167300112).

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

2729282688 is an equidigital number, since it uses as much as digits as its factorization.

2729282688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2702 (or 2675 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 2729282688 is about 52242.5371512525. The cubic root of 2729282688 is about 1397.4925675939.

The spelling of 2729282688 in words is "two billion, seven hundred twenty-nine million, two hundred eighty-two thousand, six hundred eighty-eight".