2731413928320 has 1536 divisors, whose sum is σ = 12201596559360. Its totient is φ = 546412953600.

The previous prime is 2731413928277. The next prime is 2731413928343. The reversal of 2731413928320 is 238293141372.

2731413928320 is a `hidden beast` number, since 2 + 7 + 314 + 1 + 3 + 9 + 2 + 8 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3533523454 + ... + 3533524226.

It is an arithmetic number, because the mean of its divisors is an integer number (7943747760).

Almost surely, 2^{2731413928320} is an apocalyptic number.

2731413928320 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 2731413928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6100798279680).

2731413928320 is an abundant number, since it is smaller than the sum of its proper divisors (9470182631040).

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

2731413928320 is a wasteful number, since it uses less digits than its factorization.

2731413928320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 2731413928320 in words is "two trillion, seven hundred thirty-one billion, four hundred thirteen million, nine hundred twenty-eight thousand, three hundred twenty".