2124614168180 has 72 divisors (see below), whose sum is σ = 5192323579296. Its totient is φ = 728131118400.

The previous prime is 2124614168177. The next prime is 2124614168189. The reversal of 2124614168180 is 818614164212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124614168189) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1866395 + ... + 2780765.

It is an arithmetic number, because the mean of its divisors is an integer number (72115605268).

Almost surely, 2^{2124614168180} is an apocalyptic number.

2124614168180 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 2124614168180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2596161789648).

2124614168180 is an abundant number, since it is smaller than the sum of its proper divisors (3067709411116).

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

2124614168180 is a wasteful number, since it uses less digits than its factorization.

2124614168180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916765 (or 916756 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 44.

The spelling of 2124614168180 in words is "two trillion, one hundred twenty-four billion, six hundred fourteen million, one hundred sixty-eight thousand, one hundred eighty".