2533960900 has 36 divisors (see below), whose sum is σ = 5501405700. Its totient is φ = 1013084800.

The previous prime is 2533960879. The next prime is 2533960909. The reversal of 2533960900 is 90693352.

It can be written as a sum of positive squares in 6 ways, for example, as 185395456 + 2348565444 = 13616^2 + 48462^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2533960900.

It is not an unprimeable number, because it can be changed into a prime (2533960909) 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 11 ways as a sum of consecutive naturals, for example, 249930 + ... + 259870.

It is an arithmetic number, because the mean of its divisors is an integer number (152816825).

Almost surely, 2^2533960900 is an apocalyptic number.

2533960900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2533960900 is an abundant number, since it is smaller than the sum of its proper divisors (2967444800).

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

2533960900 is a wasteful number, since it uses less digits than its factorization.

2533960900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12504 (or 12497 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 37.

The square root of 2533960900 is about 50338.4634250987. The cubic root of 2533960900 is about 1363.3267927438.

The spelling of 2533960900 in words is "two billion, five hundred thirty-three million, nine hundred sixty thousand, nine hundred".