2414020224 has 256 divisors, whose sum is σ = 8417203200. Its totient is φ = 593879040.

The previous prime is 2414020201. The next prime is 2414020249. The reversal of 2414020224 is 4220204142.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 2414020224.

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 31 ways as a sum of consecutive naturals, for example, 559644 + ... + 563940.

It is an arithmetic number, because the mean of its divisors is an integer number (32879700).

Almost surely, 2^2414020224 is an apocalyptic number.

2414020224 is a gapful number since it is divisible by the number (24) 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 2414020224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4208601600).

2414020224 is an abundant number, since it is smaller than the sum of its proper divisors (6003182976).

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

2414020224 is a wasteful number, since it uses less digits than its factorization.

2414020224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4351 (or 4339 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 2414020224 is about 49132.6797966486. The cubic root of 2414020224 is about 1341.4679509577.

Adding to 2414020224 its reverse (4220204142), we get a palindrome (6634224366).

The spelling of 2414020224 in words is "two billion, four hundred fourteen million, twenty thousand, two hundred twenty-four".