2533047552 has 378 divisors, whose sum is σ = 8850355458. Its totient is φ = 721115136.

The previous prime is 2533047551. The next prime is 2533047581. The reversal of 2533047552 is 2557403352.

2533047552 is a `hidden beast` number, since 2 + 533 + 0 + 4 + 75 + 52 = 666.

2533047552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1792336896 + 740710656 = 42336^2 + 27216^2 .

It is a tau number, because it is divible by the number of its divisors (378).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2533047551) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 9144438 + ... + 9144714.

Almost surely, 2^2533047552 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 2533047552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4425177729).

2533047552 is an abundant number, since it is smaller than the sum of its proper divisors (6317307906).

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

2533047552 is an frugal number, since it uses more digits than its factorization.

2533047552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 36.

The square root of 2533047552 is about 50329.3905387300. The cubic root of 2533047552 is about 1363.1629726106.

The spelling of 2533047552 in words is "two billion, five hundred thirty-three million, forty-seven thousand, five hundred fifty-two".