2505205032 has 64 divisors (see below), whose sum is σ = 6902884800. Its totient is φ = 751319040.

The previous prime is 2505204941. The next prime is 2505205067. The reversal of 2505205032 is 2305025052.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2505204993 and 2505205011.

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 15 ways as a sum of consecutive naturals, for example, 23307 + ... + 74522.

It is an arithmetic number, because the mean of its divisors is an integer number (107857575).

Almost surely, 2^2505205032 is an apocalyptic number.

2505205032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2505205032 is an abundant number, since it is smaller than the sum of its proper divisors (4397679768).

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

2505205032 is a wasteful number, since it uses less digits than its factorization.

2505205032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97946 (or 97942 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 2505205032 is about 50052.0232558086. The cubic root of 2505205032 is about 1358.1500640676.

It can be divided in two parts, 250520 and 5032, that added together give a palindrome (255552).

The spelling of 2505205032 in words is "two billion, five hundred five million, two hundred five thousand, thirty-two".