30224240640 has 416 divisors, whose sum is σ = 117242697600. Its totient is φ = 7325614080.

The previous prime is 30224240617. The next prime is 30224240663. The reversal of 30224240640 is 4604242203.

30224240640 is a `hidden beast` number, since 30 + 224 + 2 + 406 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (30224240617) and next prime (30224240663).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6080076 + ... + 6085044.

Almost surely, 2^30224240640 is an apocalyptic number.

30224240640 is a gapful number since it is divisible by the number (30) 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 30224240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58621348800).

30224240640 is an abundant number, since it is smaller than the sum of its proper divisors (87018456960).

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

30224240640 is a wasteful number, since it uses less digits than its factorization.

30224240640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5018 (or 4990 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 30224240640 its reverse (4604242203), we get a palindrome (34828482843).

The spelling of 30224240640 in words is "thirty billion, two hundred twenty-four million, two hundred forty thousand, six hundred forty".