2731109040 has 240 divisors, whose sum is σ = 10041857280. Its totient is φ = 659704320.

The previous prime is 2731109023. The next prime is 2731109071. The reversal of 2731109040 is 409011372.

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

It is a junction number, because it is equal to n+sod(n) for n = 2731108995 and 2731109013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3318069 + ... + 3318891.

It is an arithmetic number, because the mean of its divisors is an integer number (41841072).

Almost surely, 2^2731109040 is an apocalyptic number.

2731109040 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 2731109040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5020928640).

2731109040 is an abundant number, since it is smaller than the sum of its proper divisors (7310748240).

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

2731109040 is a wasteful number, since it uses less digits than its factorization.

2731109040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 2731109040 is about 52260.0137772657. The cubic root of 2731109040 is about 1397.8042177647.

The spelling of 2731109040 in words is "two billion, seven hundred thirty-one million, one hundred nine thousand, forty".