2424132000 has 432 divisors, whose sum is σ = 9178310232. Its totient is φ = 605798400.

The previous prime is 2424131993. The next prime is 2424132001. The reversal of 2424132000 is 2314242.

It can be written as a sum of positive squares in 12 ways, for example, as 14107536 + 2410024464 = 3756^2 + 49092^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2424132001) 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 71 ways as a sum of consecutive naturals, for example, 10403884 + ... + 10404116.

Almost surely, 2^2424132000 is an apocalyptic number.

2424132000 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 2424132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4589155116).

2424132000 is an abundant number, since it is smaller than the sum of its proper divisors (6754178232).

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

2424132000 is a wasteful number, since it uses less digits than its factorization.

2424132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2424132000 is about 49235.4750154805. The cubic root of 2424132000 is about 1343.3383754542.

Adding to 2424132000 its reverse (2314242), we get a palindrome (2426446242).

The spelling of 2424132000 in words is "two billion, four hundred twenty-four million, one hundred thirty-two thousand".