2124810240 has 384 divisors, whose sum is σ = 7991343360. Its totient is φ = 471859200.

The previous prime is 2124810221. The next prime is 2124810257. The reversal of 2124810240 is 420184212.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2124810240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8816520 + ... + 8816760.

It is an arithmetic number, because the mean of its divisors is an integer number (20810790).

Almost surely, 2^2124810240 is an apocalyptic number.

2124810240 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 2124810240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3995671680).

2124810240 is an abundant number, since it is smaller than the sum of its proper divisors (5866533120).

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

2124810240 is a wasteful number, since it uses less digits than its factorization.

2124810240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 2124810240 is about 46095.6640043291. The cubic root of 2124810240 is about 1285.6025254531.

Adding to 2124810240 its reverse (420184212), we get a palindrome (2544994452).

The spelling of 2124810240 in words is "two billion, one hundred twenty-four million, eight hundred ten thousand, two hundred forty".