2533252064 has 96 divisors (see below), whose sum is σ = 6162347520. Its totient is φ = 1000677888.

The previous prime is 2533252063. The next prime is 2533252081. The reversal of 2533252064 is 4602523352.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2533252064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2533252063) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 149429 + ... + 165515.

It is an arithmetic number, because the mean of its divisors is an integer number (64191120).

Almost surely, 2^2533252064 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 2533252064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3081173760).

2533252064 is an abundant number, since it is smaller than the sum of its proper divisors (3629095456).

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

2533252064 is a wasteful number, since it uses less digits than its factorization.

2533252064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16160 (or 16152 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

The square root of 2533252064 is about 50331.4222330345. The cubic root of 2533252064 is about 1363.1996577600.

The spelling of 2533252064 in words is "two billion, five hundred thirty-three million, two hundred fifty-two thousand, sixty-four".