2424125000 has 224 divisors, whose sum is σ = 6496791840. Its totient is φ = 840000000.

The previous prime is 2424124961. The next prime is 2424125009. The reversal of 2424125000 is 5214242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2424125009) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 56374979 + ... + 56375021.

It is an arithmetic number, because the mean of its divisors is an integer number (29003535).

Almost surely, 2^2424125000 is an apocalyptic number.

2424125000 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 2424125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3248395920).

2424125000 is an abundant number, since it is smaller than the sum of its proper divisors (4072666840).

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

2424125000 is an equidigital number, since it uses as much as digits as its factorization.

2424125000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 2424125000 is about 49235.4039284741. The cubic root of 2424125000 is about 1343.3370824309.

Adding to 2424125000 its reverse (5214242), we get a palindrome (2429339242).

The spelling of 2424125000 in words is "two billion, four hundred twenty-four million, one hundred twenty-five thousand".