2731315055040 has 2688 divisors, whose sum is σ = 12183600199680. Its totient is φ = 551809843200.

The previous prime is 2731315055033. The next prime is 2731315055057. The reversal of 2731315055040 is 405505131372.

2731315055040 is a `hidden beast` number, since 2 + 7 + 3 + 13 + 1 + 50 + 550 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2731315054986 and 2731315055004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 16756533999 + ... + 16756534161.

It is an arithmetic number, because the mean of its divisors is an integer number (4532589360).

Almost surely, 2^{2731315055040} is an apocalyptic number.

2731315055040 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 2731315055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6091800099840).

2731315055040 is an abundant number, since it is smaller than the sum of its proper divisors (9452285144640).

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

2731315055040 is a wasteful number, since it uses less digits than its factorization.

2731315055040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 2731315055040 in words is "two trillion, seven hundred thirty-one billion, three hundred fifteen million, fifty-five thousand, forty".