2524129920 has 288 divisors, whose sum is σ = 9441822780. Its totient is φ = 621084672.

The previous prime is 2524129897. The next prime is 2524129939. The reversal of 2524129920 is 299214252.

2524129920 is a `hidden beast` number, since 2 + 524 + 129 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 340623936 + 2183505984 = 18456^2 + 46728^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 972144 + ... + 974736.

Almost surely, 2^2524129920 is an apocalyptic number.

2524129920 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 2524129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4720911390).

2524129920 is an abundant number, since it is smaller than the sum of its proper divisors (6917692860).

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

2524129920 is a wasteful number, since it uses less digits than its factorization.

2524129920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2644 (or 2616 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2524129920 is about 50240.7197400674. The cubic root of 2524129920 is about 1361.5614131179.

The spelling of 2524129920 in words is "two billion, five hundred twenty-four million, one hundred twenty-nine thousand, nine hundred twenty".