2731320720 has 240 divisors, whose sum is σ = 9594624000. Its totient is φ = 695485440.

The previous prime is 2731320703. The next prime is 2731320743. The reversal of 2731320720 is 270231372.

It is a happy number.

2731320720 is a `hidden beast` number, since 273 + 1 + 320 + 72 + 0 = 666.

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

It is a super-2 number, since 2×2731320720² = 14920225751002636800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1762506 + ... + 1764054.

It is an arithmetic number, because the mean of its divisors is an integer number (39977600).

Almost surely, 2^2731320720 is an apocalyptic number.

2731320720 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 2731320720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4797312000).

2731320720 is an abundant number, since it is smaller than the sum of its proper divisors (6863303280).

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

2731320720 is a wasteful number, since it uses less digits than its factorization.

2731320720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 2731320720 is about 52262.0389958142. The cubic root of 2731320720 is about 1397.8403300239.

The spelling of 2731320720 in words is "two billion, seven hundred thirty-one million, three hundred twenty thousand, seven hundred twenty".