2729497680 has 240 divisors, whose sum is σ = 11282194560. Its totient is φ = 575880192.

The previous prime is 2729497669. The next prime is 2729497681. The reversal of 2729497680 is 867949272.

2729497680 is a `hidden beast` number, since 2 + 72 + 9 + 497 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2729497681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44691 + ... + 86349.

It is an arithmetic number, because the mean of its divisors is an integer number (47009144).

Almost surely, 2^2729497680 is an apocalyptic number.

2729497680 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 2729497680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5641097280).

2729497680 is an abundant number, since it is smaller than the sum of its proper divisors (8552696880).

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

2729497680 is a wasteful number, since it uses less digits than its factorization.

2729497680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41698 (or 41689 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 2729497680 is about 52244.5947443369. The cubic root of 2729497680 is about 1397.5292612198.

The spelling of 2729497680 in words is "two billion, seven hundred twenty-nine million, four hundred ninety-seven thousand, six hundred eighty".