2971134391680 has 1536 divisors, whose sum is σ = 13499954657280. Its totient is φ = 584898969600.

The previous prime is 2971134391627. The next prime is 2971134391691. The reversal of 2971134391680 is 861934311792.

2971134391680 is a `hidden beast` number, since 2 + 9 + 7 + 113 + 439 + 16 + 80 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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, 494279875 + ... + 494285885.

It is an arithmetic number, because the mean of its divisors is an integer number (8789032980).

Almost surely, 2^{2971134391680} is an apocalyptic number.

2971134391680 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 2971134391680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6749977328640).

2971134391680 is an abundant number, since it is smaller than the sum of its proper divisors (10528820265600).

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

2971134391680 is a wasteful number, since it uses less digits than its factorization.

2971134391680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6120 (or 6105 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 2971134391680 in words is "two trillion, nine hundred seventy-one billion, one hundred thirty-four million, three hundred ninety-one thousand, six hundred eighty".