5419972224 has 256 divisors, whose sum is σ = 17136000000. Its totient is φ = 1681357824.

The previous prime is 5419972223. The next prime is 5419972277. The reversal of 5419972224 is 4222799145.

5419972224 is a `hidden beast` number, since 5 + 419 + 9 + 7 + 2 + 224 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5419972224.

It is not an unprimeable number, because it can be changed into a prime (5419972223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3873477 + ... + 3874875.

It is an arithmetic number, because the mean of its divisors is an integer number (66937500).

Almost surely, 2^5419972224 is an apocalyptic number.

5419972224 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 5419972224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8568000000).

5419972224 is an abundant number, since it is smaller than the sum of its proper divisors (11716027776).

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

5419972224 is a wasteful number, since it uses less digits than its factorization.

5419972224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500 (or 1482 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 5419972224 is about 73620.4606342557. The cubic root of 5419972224 is about 1756.5709128259.

The spelling of 5419972224 in words is "five billion, four hundred nineteen million, nine hundred seventy-two thousand, two hundred twenty-four".