2153600032 has 48 divisors (see below), whose sum is σ = 4429700352. Its totient is φ = 1028712960.

The previous prime is 2153600027. The next prime is 2153600041. The reversal of 2153600032 is 2300063512.

It is a junction number, because it is equal to n+sod(n) for n = 2153599976 and 2153600012.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 904828 + ... + 907204.

It is an arithmetic number, because the mean of its divisors is an integer number (92285424).

Almost surely, 2^2153600032 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 2153600032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2214850176).

2153600032 is an abundant number, since it is smaller than the sum of its proper divisors (2276100320).

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

2153600032 is a wasteful number, since it uses less digits than its factorization.

2153600032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3641 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 2153600032 is about 46406.8963840505. The cubic root of 2153600032 is about 1291.3828553567.

Adding to 2153600032 its reverse (2300063512), we get a palindrome (4453663544).

The spelling of 2153600032 in words is "two billion, one hundred fifty-three million, six hundred thousand, thirty-two".