2533856532480 has 2304 divisors, whose sum is σ = 11418469171200. Its totient is φ = 521711124480.

The previous prime is 2533856532479. The next prime is 2533856532547. The reversal of 2533856532480 is 842356583352.

2533856532480 is a `hidden beast` number, since 2 + 5 + 3 + 3 + 8 + 565 + 32 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19951626177 + ... + 19951626303.

It is an arithmetic number, because the mean of its divisors is an integer number (4955932800).

Almost surely, 2^{2533856532480} is an apocalyptic number.

2533856532480 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 2533856532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5709234585600).

2533856532480 is an abundant number, since it is smaller than the sum of its proper divisors (8884612638720).

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

2533856532480 is a wasteful number, since it uses less digits than its factorization.

2533856532480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 2533856532480 in words is "two trillion, five hundred thirty-three billion, eight hundred fifty-six million, five hundred thirty-two thousand, four hundred eighty".