2124441000 has 512 divisors, whose sum is σ = 8410521600. Its totient is φ = 491040000.

The previous prime is 2124440999. The next prime is 2124441037. The reversal of 2124441000 is 1444212.

2124441000 is a `hidden beast` number, since 212 + 44 + 410 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6830845 + ... + 6831155.

It is an arithmetic number, because the mean of its divisors is an integer number (16426800).

Almost surely, 2^2124441000 is an apocalyptic number.

2124441000 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 2124441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4205260800).

2124441000 is an abundant number, since it is smaller than the sum of its proper divisors (6286080600).

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

2124441000 is a wasteful number, since it uses less digits than its factorization.

2124441000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2124441000 is about 46091.6586813710. The cubic root of 2124441000 is about 1285.5280523908.

Adding to 2124441000 its reverse (1444212), we get a palindrome (2125885212).

It can be divided in two parts, 212444 and 1000, that added together give a square (213444 = 462²).

The spelling of 2124441000 in words is "two billion, one hundred twenty-four million, four hundred forty-one thousand".