2533512240 has 180 divisors, whose sum is σ = 9737595504. Its totient is φ = 578271744.

The previous prime is 2533512229. The next prime is 2533512253. The reversal of 2533512240 is 422153352.

It is a happy number.

2533512240 is a `hidden beast` number, since 2 + 533 + 5 + 122 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 3573006 + ... + 3573714.

Almost surely, 2^2533512240 is an apocalyptic number.

2533512240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2533512240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4868797752).

2533512240 is an abundant number, since it is smaller than the sum of its proper divisors (7204083264).

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

2533512240 is an equidigital number, since it uses as much as digits as its factorization.

2533512240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2533512240 is about 50334.0067946115. The cubic root of 2533512240 is about 1363.2463250061.

Adding to 2533512240 its reverse (422153352), we get a palindrome (2955665592).

The spelling of 2533512240 in words is "two billion, five hundred thirty-three million, five hundred twelve thousand, two hundred forty".