2148192172820 has 96 divisors (see below), whose sum is σ = 4841058392352. Its totient is φ = 797864951808.

The previous prime is 2148192172771. The next prime is 2148192172909. The reversal of 2148192172820 is 282712918412.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 328358796676 + 1819833376144 = 573026^2 + 1349012^2 .

It is a super-2 number, since 2×2148192172820² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10351922 + ... + 10557398.

It is an arithmetic number, because the mean of its divisors is an integer number (50427691587).

Almost surely, 2^{2148192172820} is an apocalyptic number.

2148192172820 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 2148192172820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2420529196176).

2148192172820 is an abundant number, since it is smaller than the sum of its proper divisors (2692866219532).

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

2148192172820 is a wasteful number, since it uses less digits than its factorization.

2148192172820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205917 (or 205915 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 47.

The spelling of 2148192172820 in words is "two trillion, one hundred forty-eight billion, one hundred ninety-two million, one hundred seventy-two thousand, eight hundred twenty".