2729147904 has 600 divisors, whose sum is σ = 10160108640. Its totient is φ = 724598784.

The previous prime is 2729147891. The next prime is 2729147909. The reversal of 2729147904 is 4097419272.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2729147904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2729147909) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 34546137 + ... + 34546215.

Almost surely, 2^2729147904 is an apocalyptic number.

2729147904 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 2729147904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5080054320).

2729147904 is an abundant number, since it is smaller than the sum of its proper divisors (7430960736).

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

2729147904 is an equidigital number, since it uses as much as digits as its factorization.

2729147904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 2729147904 is about 52241.2471520350. The cubic root of 2729147904 is about 1397.4695624358.

The spelling of 2729147904 in words is "two billion, seven hundred twenty-nine million, one hundred forty-seven thousand, nine hundred four".