2153973888 has 384 divisors, whose sum is σ = 7141305600. Its totient is φ = 617379840.

The previous prime is 2153973881. The next prime is 2153973953. The reversal of 2153973888 is 8883793512.

2153973888 is a `hidden beast` number, since 21 + 539 + 7 + 3 + 8 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (2153973881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32148831 + ... + 32148897.

It is an arithmetic number, because the mean of its divisors is an integer number (18597150).

Almost surely, 2^2153973888 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 2153973888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3570652800).

2153973888 is an abundant number, since it is smaller than the sum of its proper divisors (4987331712).

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

2153973888 is a wasteful number, since it uses less digits than its factorization.

2153973888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 185 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 2153973888 is about 46410.9242312626. The cubic root of 2153973888 is about 1291.4575772623.

The spelling of 2153973888 in words is "two billion, one hundred fifty-three million, nine hundred seventy-three thousand, eight hundred eighty-eight".