2124540360 has 384 divisors, whose sum is σ = 7721568000. Its totient is φ = 518538240.

The previous prime is 2124540359. The next prime is 2124540403. The reversal of 2124540360 is 630454212.

2124540360 is a `hidden beast` number, since 21 + 245 + 40 + 360 = 666.

It is a super-3 number, since 3×2124540360³ (a number of 29 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23871196 + ... + 23871284.

It is an arithmetic number, because the mean of its divisors is an integer number (20108250).

Almost surely, 2^2124540360 is an apocalyptic number.

2124540360 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 2124540360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3860784000).

2124540360 is an abundant number, since it is smaller than the sum of its proper divisors (5597027640).

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

2124540360 is a wasteful number, since it uses less digits than its factorization.

2124540360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2124540360 is about 46092.7365210615. The cubic root of 2124540360 is about 1285.5480934394.

Adding to 2124540360 its reverse (630454212), we get a palindrome (2754994572).

The spelling of 2124540360 in words is "two billion, one hundred twenty-four million, five hundred forty thousand, three hundred sixty".