2124096000 has 640 divisors, whose sum is σ = 8150478336. Its totient is φ = 486604800.

The previous prime is 2124095969. The next prime is 2124096001. The reversal of 2124096000 is 6904212.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2124096001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57407982 + ... + 57408018.

Almost surely, 2^2124096000 is an apocalyptic number.

2124096000 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 2124096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4075239168).

2124096000 is an abundant number, since it is smaller than the sum of its proper divisors (6026382336).

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

2124096000 is a wasteful number, since it uses less digits than its factorization.

2124096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2124096000 is about 46087.9159867313. The cubic root of 2124096000 is about 1285.4584605644.

The spelling of 2124096000 in words is "two billion, one hundred twenty-four million, ninety-six thousand".