2533213440 has 360 divisors, whose sum is σ = 9255358728. Its totient is φ = 661340160.

The previous prime is 2533213427. The next prime is 2533213457. The reversal of 2533213440 is 443123352.

2533213440 is a `hidden beast` number, since 2 + 5 + 3 + 3 + 213 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 288728064 + 2244485376 = 16992^2 + 47376^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5494810 + ... + 5495270.

Almost surely, 2^2533213440 is an apocalyptic number.

2533213440 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 2533213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4627679364).

2533213440 is an abundant number, since it is smaller than the sum of its proper divisors (6722145288).

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

2533213440 is an equidigital number, since it uses as much as digits as its factorization.

2533213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 524 counting only the distinct ones).

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

The square root of 2533213440 is about 50331.0385348842. The cubic root of 2533213440 is about 1363.1927295784.

Adding to 2533213440 its reverse (443123352), we get a palindrome (2976336792).

The spelling of 2533213440 in words is "two billion, five hundred thirty-three million, two hundred thirteen thousand, four hundred forty".