2731713542240 has 96 divisors (see below), whose sum is σ = 6794566571520. Its totient is φ = 1034988793344.

The previous prime is 2731713542177. The next prime is 2731713542267. The reversal of 2731713542240 is 422453171372.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17380487 + ... + 17536953.

It is an arithmetic number, because the mean of its divisors is an integer number (70776735120).

Almost surely, 2^{2731713542240} is an apocalyptic number.

2731713542240 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 2731713542240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3397283285760).

2731713542240 is an abundant number, since it is smaller than the sum of its proper divisors (4062853029280).

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

2731713542240 is a wasteful number, since it uses less digits than its factorization.

2731713542240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162244 (or 162236 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 41.

The spelling of 2731713542240 in words is "two trillion, seven hundred thirty-one billion, seven hundred thirteen million, five hundred forty-two thousand, two hundred forty".