2153552000 has 64 divisors (see below), whose sum is σ = 5354308440. Its totient is φ = 861414400.

The previous prime is 2153551987. The next prime is 2153552003. The reversal of 2153552000 is 2553512.

It can be written as a sum of positive squares in 4 ways, for example, as 189998656 + 1963553344 = 13784^2 + 44312^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2153552003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51299 + ... + 83298.

Almost surely, 2^2153552000 is an apocalyptic number.

2153552000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2153552000 is an abundant number, since it is smaller than the sum of its proper divisors (3200756440).

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

2153552000 is an equidigital number, since it uses as much as digits as its factorization.

2153552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134626 (or 134604 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 2153552000 is about 46406.3788718749. The cubic root of 2153552000 is about 1291.3732546631.

The spelling of 2153552000 in words is "two billion, one hundred fifty-three million, five hundred fifty-two thousand".