2153011200 has 288 divisors, whose sum is σ = 7238911680. Its totient is φ = 564428800.

The previous prime is 2153011181. The next prime is 2153011271. The reversal of 2153011200 is 21103512.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2153011200.

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 23 ways as a sum of consecutive naturals, for example, 16435135 + ... + 16435265.

It is an arithmetic number, because the mean of its divisors is an integer number (25135110).

Almost surely, 2^2153011200 is an apocalyptic number.

2153011200 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 2153011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3619455840).

2153011200 is an abundant number, since it is smaller than the sum of its proper divisors (5085900480).

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

2153011200 is a wasteful number, since it uses less digits than its factorization.

2153011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 2153011200 is about 46400.5517208578. The cubic root of 2153011200 is about 1291.2651490585.

Adding to 2153011200 its reverse (21103512), we get a palindrome (2174114712).

The spelling of 2153011200 in words is "two billion, one hundred fifty-three million, eleven thousand, two hundred".