2504252032 has 64 divisors (see below), whose sum is σ = 5147483040. Its totient is φ = 1212963840.

The previous prime is 2504251999. The next prime is 2504252033. The reversal of 2504252032 is 2302524052.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2504252032² = 12542556479552258048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2504251988 and 2504252006.

It is not an unprimeable number, because it can be changed into a prime (2504252033) 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 7 ways as a sum of consecutive naturals, for example, 520743 + ... + 525529.

Almost surely, 2^2504252032 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 2504252032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2573741520).

2504252032 is an abundant number, since it is smaller than the sum of its proper divisors (2643231008).

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

2504252032 is an equidigital number, since it uses as much as digits as its factorization.

2504252032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4929 (or 4917 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 2504252032 is about 50042.5022555827. The cubic root of 2504252032 is about 1357.9778251820.

Adding to 2504252032 its reverse (2302524052), we get a palindrome (4806776084).

The spelling of 2504252032 in words is "two billion, five hundred four million, two hundred fifty-two thousand, thirty-two".