2146873767100 has 108 divisors (see below), whose sum is σ = 5034683790864. Its totient is φ = 793087285760.

The previous prime is 2146873767041. The next prime is 2146873767107. The reversal of 2146873767100 is 17673786412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2146873767107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1379352 + ... + 2489248.

It is an arithmetic number, because the mean of its divisors is an integer number (46617442508).

Almost surely, 2^{2146873767100} is an apocalyptic number.

2146873767100 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 2146873767100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2517341895432).

2146873767100 is an abundant number, since it is smaller than the sum of its proper divisors (2887810023764).

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

2146873767100 is a wasteful number, since it uses less digits than its factorization.

2146873767100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109992 (or 1109956 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 52.

The spelling of 2146873767100 in words is "two trillion, one hundred forty-six billion, eight hundred seventy-three million, seven hundred sixty-seven thousand, one hundred".