2671384220120 has 256 divisors, whose sum is σ = 8142623539200. Its totient is φ = 763369920000.

The previous prime is 2671384220111. The next prime is 2671384220201. The reversal of 2671384220120 is 210224831762.

It is a happy number.

It is a super-2 number, since 2×2671384220120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1077845 + ... + 2550395.

It is an arithmetic number, because the mean of its divisors is an integer number (31807123200).

Almost surely, 2^{2671384220120} is an apocalyptic number.

2671384220120 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 2671384220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4071311769600).

2671384220120 is an abundant number, since it is smaller than the sum of its proper divisors (5471239319080).

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

2671384220120 is a wasteful number, since it uses less digits than its factorization.

2671384220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472630 (or 1472626 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The spelling of 2671384220120 in words is "two trillion, six hundred seventy-one billion, three hundred eighty-four million, two hundred twenty thousand, one hundred twenty".