2133527472 has 240 divisors, whose sum is σ = 6797422080. Its totient is φ = 639378432.

The previous prime is 2133527453. The next prime is 2133527503. The reversal of 2133527472 is 2747253312.

2133527472 is a `hidden beast` number, since 2 + 133 + 52 + 7 + 472 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2871133 + ... + 2871875.

It is an arithmetic number, because the mean of its divisors is an integer number (28322592).

Almost surely, 2^2133527472 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 2133527472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3398711040).

2133527472 is an abundant number, since it is smaller than the sum of its proper divisors (4663894608).

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

2133527472 is a wasteful number, since it uses less digits than its factorization.

2133527472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 788 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 2133527472 is about 46190.1231000741. The cubic root of 2133527472 is about 1287.3582280442.

The spelling of 2133527472 in words is "two billion, one hundred thirty-three million, five hundred twenty-seven thousand, four hundred seventy-two".