2731864320 has 216 divisors, whose sum is σ = 9803154816. Its totient is φ = 728414208.

The previous prime is 2731864273. The next prime is 2731864337. The reversal of 2731864320 is 234681372.

It is a happy number.

2731864320 is a `hidden beast` number, since 2 + 7 + 3 + 1 + 8 + 643 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306649 + ... + 315431.

It is an arithmetic number, because the mean of its divisors is an integer number (45384976).

Almost surely, 2^2731864320 is an apocalyptic number.

2731864320 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 2731864320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4901577408).

2731864320 is an abundant number, since it is smaller than the sum of its proper divisors (7071290496).

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

2731864320 is an frugal number, since it uses more digits than its factorization.

2731864320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8819 (or 8793 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2731864320 is about 52267.2394526438. The cubic root of 2731864320 is about 1397.9330587409.

The spelling of 2731864320 in words is "two billion, seven hundred thirty-one million, eight hundred sixty-four thousand, three hundred twenty".