2124306000 has 560 divisors, whose sum is σ = 8118908928. Its totient is φ = 536544000.

The previous prime is 2124305987. The next prime is 2124306061. The reversal of 2124306000 is 6034212.

It is a happy number.

2124306000 is a `hidden beast` number, since 21 + 2 + 43 + 0 + 600 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 45197977 + ... + 45198023.

Almost surely, 2^2124306000 is an apocalyptic number.

2124306000 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 2124306000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4059454464).

2124306000 is an abundant number, since it is smaller than the sum of its proper divisors (5994602928).

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

2124306000 is an equidigital number, since it uses as much as digits as its factorization.

2124306000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2124306000 is about 46090.1941848806. The cubic root of 2124306000 is about 1285.5008217039.

The spelling of 2124306000 in words is "two billion, one hundred twenty-four million, three hundred six thousand".