2153133504 has 336 divisors, whose sum is σ = 7018202880. Its totient is φ = 627056640.

The previous prime is 2153133503. The next prime is 2153133547. The reversal of 2153133504 is 4053313512.

2153133504 is a `hidden beast` number, since 2 + 153 + 1 + 3 + 3 + 504 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153133503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13209327 + ... + 13209489.

Almost surely, 2^2153133504 is an apocalyptic number.

2153133504 is a gapful number since it is divisible by the number (24) 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 2153133504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3509101440).

2153133504 is an abundant number, since it is smaller than the sum of its proper divisors (4865069376).

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

2153133504 is a wasteful number, since it uses less digits than its factorization.

2153133504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 2153133504 is about 46401.8696175057. The cubic root of 2153133504 is about 1291.2895991407.

The spelling of 2153133504 in words is "two billion, one hundred fifty-three million, one hundred thirty-three thousand, five hundred four".