2152027200 has 336 divisors, whose sum is σ = 7478914176. Its totient is φ = 540672000.

The previous prime is 2152027187. The next prime is 2152027201. The reversal of 2152027200 is 27202512.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2152027201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11150304 + ... + 11150496.

Almost surely, 2^2152027200 is an apocalyptic number.

2152027200 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 2152027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3739457088).

2152027200 is an abundant number, since it is smaller than the sum of its proper divisors (5326886976).

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

2152027200 is a wasteful number, since it uses less digits than its factorization.

2152027200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 2152027200 is about 46389.9471868637. The cubic root of 2152027200 is about 1291.0684015875.

Adding to 2152027200 its reverse (27202512), we get a palindrome (2179229712).

The spelling of 2152027200 in words is "two billion, one hundred fifty-two million, twenty-seven thousand, two hundred".