2729399904 has 432 divisors, whose sum is σ = 9955056384. Its totient is φ = 694172160.

The previous prime is 2729399891. The next prime is 2729399917. The reversal of 2729399904 is 4099939272.

It is an interprime number because it is at equal distance from previous prime (2729399891) and next prime (2729399917).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16343629 + ... + 16343795.

It is an arithmetic number, because the mean of its divisors is an integer number (23044112).

Almost surely, 2^2729399904 is an apocalyptic number.

2729399904 is a gapful number since it is divisible by the number (24) 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 2729399904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4977528192).

2729399904 is an abundant number, since it is smaller than the sum of its proper divisors (7225656480).

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

2729399904 is a wasteful number, since it uses less digits than its factorization.

2729399904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The square root of 2729399904 is about 52243.6589836508. The cubic root of 2729399904 is about 1397.5125736007.

The spelling of 2729399904 in words is "two billion, seven hundred twenty-nine million, three hundred ninety-nine thousand, nine hundred four".