5005414224 has 80 divisors (see below), whose sum is σ = 14402203200. Its totient is φ = 1664429184.

The previous prime is 5005414177. The next prime is 5005414229. The reversal of 5005414224 is 4224145005.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5005414229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167182 + ... + 194834.

It is an arithmetic number, because the mean of its divisors is an integer number (180027540).

Almost surely, 2^5005414224 is an apocalyptic number.

5005414224 is a gapful number since it is divisible by the number (54) 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 5005414224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7201101600).

5005414224 is an abundant number, since it is smaller than the sum of its proper divisors (9396788976).

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

5005414224 is a wasteful number, since it uses less digits than its factorization.

5005414224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28089 (or 28077 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 5005414224 is about 70748.9521053139. The cubic root of 5005414224 is about 1710.5929368827.

Adding to 5005414224 its reverse (4224145005), we get a palindrome (9229559229).

The spelling of 5005414224 in words is "five billion, five million, four hundred fourteen thousand, two hundred twenty-four".