2731345920 has 480 divisors, whose sum is σ = 10167557400. Its totient is φ = 700710912.

The previous prime is 2731345909. The next prime is 2731345927. The reversal of 2731345920 is 295431372.

2731345920 is a `hidden beast` number, since 2 + 7 + 31 + 34 + 592 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2313225216 + 418120704 = 48096^2 + 20448^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (2731345927) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30689236 + ... + 30689324.

Almost surely, 2^2731345920 is an apocalyptic number.

2731345920 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 2731345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5083778700).

2731345920 is an abundant number, since it is smaller than the sum of its proper divisors (7436211480).

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

2731345920 is an equidigital number, since it uses as much as digits as its factorization.

2731345920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 2731345920 is about 52262.2800880329. The cubic root of 2731345920 is about 1397.8446289781.

The spelling of 2731345920 in words is "two billion, seven hundred thirty-one million, three hundred forty-five thousand, nine hundred twenty".