2533466509056 has 864 divisors, whose sum is σ = 9043705144320. Its totient is φ = 697036161024.

The previous prime is 2533466509037. The next prime is 2533466509111. The reversal of 2533466509056 is 6509056643352.

It is a happy number.

2533466509056 is a `hidden beast` number, since 2 + 53 + 34 + 6 + 6 + 509 + 0 + 56 = 666.

2533466509056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×2533466509056² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2533466508993 and 2533466509011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1063140441 + ... + 1063142823.

Almost surely, 2^{2533466509056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2533466509056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4521852572160).

2533466509056 is an abundant number, since it is smaller than the sum of its proper divisors (6510238635264).

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

2533466509056 is a wasteful number, since it uses less digits than its factorization.

2533466509056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2538 (or 2511 counting only the distinct ones).

The product of its (nonzero) digits is 17496000, while the sum is 54.

The spelling of 2533466509056 in words is "two trillion, five hundred thirty-three billion, four hundred sixty-six million, five hundred nine thousand, fifty-six".