2671434597312 has 336 divisors, whose sum is σ = 8576361681888. Its totient is φ = 789696552960.

The previous prime is 2671434597229. The next prime is 2671434597313. The reversal of 2671434597312 is 2137954341762.

2671434597312 is a `hidden beast` number, since 2 + 6 + 7 + 1 + 4 + 34 + 597 + 3 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2671434597313) 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, 19573018 + ... + 19709030.

It is an arithmetic number, because the mean of its divisors is an integer number (25524885958).

Almost surely, 2^{2671434597312} 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 2671434597312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4288180840944).

2671434597312 is an abundant number, since it is smaller than the sum of its proper divisors (5904927084576).

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

2671434597312 is a wasteful number, since it uses less digits than its factorization.

2671434597312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136148 (or 136135 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 2671434597312 in words is "two trillion, six hundred seventy-one billion, four hundred thirty-four million, five hundred ninety-seven thousand, three hundred twelve".