2731405040 has 480 divisors, whose sum is σ = 8713728000. Its totient is φ = 792529920.

The previous prime is 2731405037. The next prime is 2731405063. The reversal of 2731405040 is 405041372.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88109825 + ... + 88109855.

It is an arithmetic number, because the mean of its divisors is an integer number (18153600).

Almost surely, 2^2731405040 is an apocalyptic number.

2731405040 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 2731405040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4356864000).

2731405040 is an abundant number, since it is smaller than the sum of its proper divisors (5982322960).

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

2731405040 is a wasteful number, since it uses less digits than its factorization.

2731405040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 2731405040 is about 52262.8456936665. The cubic root of 2731405040 is about 1397.8547143573.

The spelling of 2731405040 in words is "two billion, seven hundred thirty-one million, four hundred five thousand, forty".