2153441200 has 120 divisors (see below), whose sum is σ = 5274367776. Its totient is φ = 844800000.

The previous prime is 2153441131. The next prime is 2153441203. The reversal of 2153441200 is 21443512.

It is not an unprimeable number, because it can be changed into a prime (2153441203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6100224 + ... + 6100576.

Almost surely, 2^2153441200 is an apocalyptic number.

2153441200 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 2153441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2637183888).

2153441200 is an abundant number, since it is smaller than the sum of its proper divisors (3120926576).

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

2153441200 is a wasteful number, since it uses less digits than its factorization.

2153441200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 2153441200 is about 46405.1850551207. The cubic root of 2153441200 is about 1291.3511072820.

Adding to 2153441200 its reverse (21443512), we get a palindrome (2174884712).

The spelling of 2153441200 in words is "two billion, one hundred fifty-three million, four hundred forty-one thousand, two hundred".