2153600 has 48 divisors (see below), whose sum is σ = 5327970. Its totient is φ = 860160.

The previous prime is 2153563. The next prime is 2153621. The reversal of 2153600 is 63512.

It can be written as a sum of positive squares in 3 ways, for example, as 1420864 + 732736 = 1192^2 + 856^2 .

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 2864 + ... + 3536.

2^2153600 is an apocalyptic number.

2153600 is a gapful number since it is divisible by the number (20) 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 2153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2663985).

2153600 is an abundant number, since it is smaller than the sum of its proper divisors (3174370).

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

2153600 is an equidigital number, since it uses as much as digits as its factorization.

2153600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 2153600 is about 1467.5149062275. The cubic root of 2153600 is about 129.1382848961.

The spelling of 2153600 in words is "two million, one hundred fifty-three thousand, six hundred".