2150007200 has 288 divisors, whose sum is σ = 6023989440. Its totient is φ = 742400000.

The previous prime is 2150007193. The next prime is 2150007229. The reversal of 2150007200 is 27000512.

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, 21287150 + ... + 21287250.

It is an arithmetic number, because the mean of its divisors is an integer number (20916630).

Almost surely, 2^2150007200 is an apocalyptic number.

2150007200 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 2150007200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3011994720).

2150007200 is an abundant number, since it is smaller than the sum of its proper divisors (3873982240).

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

2150007200 is a wasteful number, since it uses less digits than its factorization.

2150007200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 2150007200 is about 46368.1701170102. The cubic root of 2150007200 is about 1290.6643214124.

Adding to 2150007200 its reverse (27000512), we get a palindrome (2177007712).

The spelling of 2150007200 in words is "two billion, one hundred fifty million, seven thousand, two hundred".