2671140593160 has 672 divisors, whose sum is σ = 9784289419200. Its totient is φ = 655705290240.

The previous prime is 2671140593141. The next prime is 2671140593183. The reversal of 2671140593160 is 613950411762.

2671140593160 is a `hidden beast` number, since 2 + 6 + 7 + 1 + 1 + 40 + 593 + 16 + 0 = 666.

2671140593160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 167 ways as a sum of consecutive naturals, for example, 3109592811 + ... + 3109593669.

Almost surely, 2^{2671140593160} is an apocalyptic number.

2671140593160 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 2671140593160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4892144709600).

2671140593160 is an abundant number, since it is smaller than the sum of its proper divisors (7113148826040).

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

2671140593160 is a wasteful number, since it uses less digits than its factorization.

2671140593160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 2671140593160 in words is "two trillion, six hundred seventy-one billion, one hundred forty million, five hundred ninety-three thousand, one hundred sixty".