2141158320 has 640 divisors, whose sum is σ = 9050849280. Its totient is φ = 454671360.

The previous prime is 2141158319. The next prime is 2141158333. The reversal of 2141158320 is 238511412.

2141158320 is a `hidden beast` number, since 21 + 41 + 1 + 583 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16344655 + ... + 16344785.

It is an arithmetic number, because the mean of its divisors is an integer number (14141952).

Almost surely, 2^2141158320 is an apocalyptic number.

2141158320 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 2141158320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4525424640).

2141158320 is an abundant number, since it is smaller than the sum of its proper divisors (6909690960).

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

2141158320 is a wasteful number, since it uses less digits than its factorization.

2141158320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2141158320 is about 46272.6519663613. The cubic root of 2141158320 is about 1288.8912051528.

Adding to 2141158320 its reverse (238511412), we get a palindrome (2379669732).

It can be divided in two parts, 2141 and 158320, that added together give a triangular number (160461 = T₅₆₆).

The spelling of 2141158320 in words is "two billion, one hundred forty-one million, one hundred fifty-eight thousand, three hundred twenty".