2533031424 has 480 divisors, whose sum is σ = 9345473280. Its totient is φ = 646778880.

The previous prime is 2533031407. The next prime is 2533031447. The reversal of 2533031424 is 4241303352.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42932707 + ... + 42932765.

It is an arithmetic number, because the mean of its divisors is an integer number (19469736).

Almost surely, 2^2533031424 is an apocalyptic number.

2533031424 is a gapful number since it is divisible by the number (24) 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 2533031424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4672736640).

2533031424 is an abundant number, since it is smaller than the sum of its proper divisors (6812441856).

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

2533031424 is an equidigital number, since it uses as much as digits as its factorization.

2533031424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2533031424 is about 50329.2303140034. The cubic root of 2533031424 is about 1363.1600795028.

Adding to 2533031424 its reverse (4241303352), we get a palindrome (6774334776).

The spelling of 2533031424 in words is "two billion, five hundred thirty-three million, thirty-one thousand, four hundred twenty-four".