2732847040 has 224 divisors, whose sum is σ = 8169030144. Its totient is φ = 845967360.

The previous prime is 2732847017. The next prime is 2732847043. The reversal of 2732847040 is 407482372.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2732847043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4853799 + ... + 4854361.

Almost surely, 2^2732847040 is an apocalyptic number.

2732847040 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 2732847040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4084515072).

2732847040 is an abundant number, since it is smaller than the sum of its proper divisors (5436183104).

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

2732847040 is a wasteful number, since it uses less digits than its factorization.

2732847040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 37.

The square root of 2732847040 is about 52276.6395247437. The cubic root of 2732847040 is about 1398.1006624870.

The spelling of 2732847040 in words is "two billion, seven hundred thirty-two million, eight hundred forty-seven thousand, forty".