224481992490 has 512 divisors, whose sum is σ = 755918438400. Its totient is φ = 46220232960.

The previous prime is 224481992473. The next prime is 224481992491. The reversal of 224481992490 is 94299184422.

It is a happy number.

224481992490 is a `hidden beast` number, since 2 + 2 + 448 + 1 + 99 + 24 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (224481992491) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 157751919 + ... + 157753341.

It is an arithmetic number, because the mean of its divisors is an integer number (1476403200).

Almost surely, 2^224481992490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224481992490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377959219200).

224481992490 is an abundant number, since it is smaller than the sum of its proper divisors (531436445910).

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

224481992490 is a wasteful number, since it uses less digits than its factorization.

224481992490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 224481992490 in words is "two hundred twenty-four billion, four hundred eighty-one million, nine hundred ninety-two thousand, four hundred ninety".