2731707342432 has 288 divisors, whose sum is σ = 8302863713760. Its totient is φ = 873263738880.

The previous prime is 2731707342431. The next prime is 2731707342437. The reversal of 2731707342432 is 2342437071372.

It is a happy number.

2731707342432 is a `hidden beast` number, since 2 + 7 + 3 + 170 + 7 + 3 + 42 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2731707342431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123299868 + ... + 123322020.

It is an arithmetic number, because the mean of its divisors is an integer number (28829387895).

Almost surely, 2^{2731707342432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2731707342432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4151431856880).

2731707342432 is an abundant number, since it is smaller than the sum of its proper divisors (5571156371328).

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

2731707342432 is a wasteful number, since it uses less digits than its factorization.

2731707342432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22331 (or 22258 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 45.

The spelling of 2731707342432 in words is "two trillion, seven hundred thirty-one billion, seven hundred seven million, three hundred forty-two thousand, four hundred thirty-two".