2533330080 has 240 divisors, whose sum is σ = 9132963840. Its totient is φ = 661022208.

The previous prime is 2533330069. The next prime is 2533330081. The reversal of 2533330080 is 800333352.

It is a happy number.

2533330080 is a `hidden beast` number, since 25 + 333 + 300 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2533330080² = 12835522588465612800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2533330081) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 607041 + ... + 611199.

It is an arithmetic number, because the mean of its divisors is an integer number (38054016).

Almost surely, 2^2533330080 is an apocalyptic number.

2533330080 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 2533330080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4566481920).

2533330080 is an abundant number, since it is smaller than the sum of its proper divisors (6599633760).

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

2533330080 is a wasteful number, since it uses less digits than its factorization.

2533330080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4233 (or 4216 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 2533330080 is about 50332.1972498718. The cubic root of 2533330080 is about 1363.2136516685.

It can be divided in two parts, 253 and 3330080, that added together give a palindrome (3330333).

The spelling of 2533330080 in words is "two billion, five hundred thirty-three million, three hundred thirty thousand, eighty".