2505352032 has 120 divisors (see below), whose sum is σ = 7383210912. Its totient is φ = 833414400.

The previous prime is 2505351943. The next prime is 2505352037. The reversal of 2505352032 is 2302535052.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2505351987 and 2505352005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505352037) 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 19 ways as a sum of consecutive naturals, for example, 2360782 + ... + 2361842.

Almost surely, 2^2505352032 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 2505352032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3691605456).

2505352032 is an abundant number, since it is smaller than the sum of its proper divisors (4877858880).

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

2505352032 is a wasteful number, since it uses less digits than its factorization.

2505352032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1977 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 2505352032 is about 50053.4917063735. The cubic root of 2505352032 is about 1358.1766279818.

Adding to 2505352032 its reverse (2302535052), we get a palindrome (4807887084).

The spelling of 2505352032 in words is "two billion, five hundred five million, three hundred fifty-two thousand, thirty-two".