2425175120 has 80 divisors (see below), whose sum is σ = 5982005520. Its totient is φ = 911204352.

The previous prime is 2425175087. The next prime is 2425175147. The reversal of 2425175120 is 215715242.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 15936064 + 2409239056 = 3992^2 + 49084^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 832226 + ... + 835134.

It is an arithmetic number, because the mean of its divisors is an integer number (74775069).

Almost surely, 2^2425175120 is an apocalyptic number.

2425175120 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 2425175120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2991002760).

2425175120 is an abundant number, since it is smaller than the sum of its proper divisors (3556830400).

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

2425175120 is a wasteful number, since it uses less digits than its factorization.

2425175120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3552 (or 3546 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 29.

The square root of 2425175120 is about 49246.0670510854. The cubic root of 2425175120 is about 1343.5310302799.

The spelling of 2425175120 in words is "two billion, four hundred twenty-five million, one hundred seventy-five thousand, one hundred twenty".