2148121800 has 576 divisors, whose sum is σ = 8461065600. Its totient is φ = 483225600.

The previous prime is 2148121799. The next prime is 2148121813. The reversal of 2148121800 is 81218412.

2148121800 is a `hidden beast` number, since 2 + 1 + 481 + 2 + 180 + 0 = 666.

It is a super-2 number, since 2×2148121800² = 9228854535270480000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24136156 + ... + 24136244.

It is an arithmetic number, because the mean of its divisors is an integer number (14689350).

Almost surely, 2^2148121800 is an apocalyptic number.

2148121800 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 2148121800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4230532800).

2148121800 is an abundant number, since it is smaller than the sum of its proper divisors (6312943800).

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

2148121800 is a wasteful number, since it uses less digits than its factorization.

2148121800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 2148121800 is about 46347.8349008883. The cubic root of 2148121800 is about 1290.2869381539.

It can be divided in two parts, 214812 and 1800, that added together give a palindrome (216612).

The spelling of 2148121800 in words is "two billion, one hundred forty-eight million, one hundred twenty-one thousand, eight hundred".