2524234752 has 220 divisors, whose sum is σ = 8121161356. Its totient is φ = 776355840.

The previous prime is 2524234729. The next prime is 2524234829. The reversal of 2524234752 is 2574324252.

2524234752 is a `hidden beast` number, since 25 + 242 + 347 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 967458816 + 1556775936 = 31104^2 + 39456^2 .

It is a super-2 number, since 2×2524234752² = 12743522166409003008, which contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1077102 + ... + 1079442.

Almost surely, 2^2524234752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2524234752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4060580678).

2524234752 is an abundant number, since it is smaller than the sum of its proper divisors (5596926604).

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

2524234752 is a wasteful number, since it uses less digits than its factorization.

2524234752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2386 (or 2359 counting only the distinct ones).

The product of its digits is 134400, while the sum is 36.

The square root of 2524234752 is about 50241.7630263907. The cubic root of 2524234752 is about 1361.5802622837.

The spelling of 2524234752 in words is "two billion, five hundred twenty-four million, two hundred thirty-four thousand, seven hundred fifty-two".