2732408960 has 64 divisors (see below), whose sum is σ = 6540070680. Its totient is φ = 1091641344.

The previous prime is 2732408927. The next prime is 2732408977. The reversal of 2732408960 is 698042372.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2728181824 + 4227136 = 52232^2 + 2056^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 659054 + ... + 663186.

Almost surely, 2^2732408960 is an apocalyptic number.

2732408960 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 2732408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3270035340).

2732408960 is an abundant number, since it is smaller than the sum of its proper divisors (3807661720).

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

2732408960 is a wasteful number, since it uses less digits than its factorization.

2732408960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5185 (or 5173 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 2732408960 is about 52272.4493399726. The cubic root of 2732408960 is about 1398.0259525283.

The spelling of 2732408960 in words is "two billion, seven hundred thirty-two million, four hundred eight thousand, nine hundred sixty".