6402241530 has 192 divisors, whose sum is σ = 17430704928. Its totient is φ = 1629388800.

The previous prime is 6402241523. The next prime is 6402241561. The reversal of 6402241530 is 351422046.

6402241530 is a `hidden beast` number, since 640 + 2 + 2 + 4 + 15 + 3 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 2959251201 + 3442990329 = 54399^2 + 58677^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6402241494 and 6402241503.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46731622 + ... + 46731758.

Almost surely, 2^6402241530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6402241530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8715352464).

6402241530 is an abundant number, since it is smaller than the sum of its proper divisors (11028463398).

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

6402241530 is a wasteful number, since it uses less digits than its factorization.

6402241530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 6402241530 is about 80014.0083360408. The cubic root of 6402241530 is about 1856.8522635742.

Adding to 6402241530 its reverse (351422046), we get a palindrome (6753663576).

The spelling of 6402241530 in words is "six billion, four hundred two million, two hundred forty-one thousand, five hundred thirty".