2150608320 has 448 divisors, whose sum is σ = 8797747200. Its totient is φ = 490447872.

The previous prime is 2150608297. The next prime is 2150608331. The reversal of 2150608320 is 238060512.

2150608320 is a `hidden beast` number, since 2 + 1 + 50 + 608 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×2150608320² = 9250232292106444800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4898661 + ... + 4899099.

Almost surely, 2^2150608320 is an apocalyptic number.

2150608320 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 2150608320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4398873600).

2150608320 is an abundant number, since it is smaller than the sum of its proper divisors (6647138880).

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

2150608320 is an frugal number, since it uses more digits than its factorization.

2150608320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2150608320 is about 46374.6516968052. The cubic root of 2150608320 is about 1290.7845957138.

Adding to 2150608320 its reverse (238060512), we get a palindrome (2388668832).

The spelling of 2150608320 in words is "two billion, one hundred fifty million, six hundred eight thousand, three hundred twenty".