2729853504 has 189 divisors, whose sum is σ = 9131484531. Its totient is φ = 777450240.

The previous prime is 2729853499. The next prime is 2729853527. The reversal of 2729853504 is 4053589272.

The square root of 2729853504 is 52248.

It is a perfect power (a square), and thus also a powerful number.

2729853504 is a `hidden beast` number, since 2 + 7 + 2 + 98 + 53 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2729853504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8777509 + ... + 8777819.

Almost surely, 2^2729853504 is an apocalyptic number.

2729853504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2729853504 is the 52248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2729853504

2729853504 is an abundant number, since it is smaller than the sum of its proper divisors (6401631027).

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

2729853504 is an equidigital number, since it uses as much as digits as its factorization.

2729853504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The cubic root of 2729853504 is about 1397.5899870264.

The spelling of 2729853504 in words is "two billion, seven hundred twenty-nine million, eight hundred fifty-three thousand, five hundred four".