2671343665100 has 144 divisors (see below), whose sum is σ = 6429515484672. Its totient is φ = 955168800000.

The previous prime is 2671343665093. The next prime is 2671343665121. The reversal of 2671343665100 is 15663431762.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 383204615 + ... + 383211585.

It is an arithmetic number, because the mean of its divisors is an integer number (44649413088).

Almost surely, 2^{2671343665100} is an apocalyptic number.

2671343665100 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 2671343665100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214757742336).

2671343665100 is an abundant number, since it is smaller than the sum of its proper divisors (3758171819572).

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

2671343665100 is a wasteful number, since it uses less digits than its factorization.

2671343665100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12768 (or 12761 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 44.

The spelling of 2671343665100 in words is "two trillion, six hundred seventy-one billion, three hundred forty-three million, six hundred sixty-five thousand, one hundred".