2152051200 has 480 divisors, whose sum is σ = 8524454400. Its totient is φ = 528629760.

The previous prime is 2152051177. The next prime is 2152051243. The reversal of 2152051200 is 21502512.

2152051200 is a `hidden beast` number, since 2 + 152 + 0 + 512 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4492561 + ... + 4493039.

It is an arithmetic number, because the mean of its divisors is an integer number (17759280).

Almost surely, 2^2152051200 is an apocalyptic number.

2152051200 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 2152051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4262227200).

2152051200 is an abundant number, since it is smaller than the sum of its proper divisors (6372403200).

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

2152051200 is a wasteful number, since it uses less digits than its factorization.

2152051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 2152051200 is about 46390.2058628758. The cubic root of 2152051200 is about 1291.0732010198.

Adding to 2152051200 its reverse (21502512), we get a palindrome (2173553712).

The spelling of 2152051200 in words is "two billion, one hundred fifty-two million, fifty-one thousand, two hundred".