6303262240 has 192 divisors, whose sum is σ = 17501847552. Its totient is φ = 2121292800.

The previous prime is 6303262183. The next prime is 6303262241. The reversal of 6303262240 is 422623036.

It is a super-2 number, since 2×6303262240² = 79462229732419635200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 6303262199 and 6303262208.

It is not an unprimeable number, because it can be changed into a prime (6303262241) 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, 1252369 + ... + 1257391.

It is an arithmetic number, because the mean of its divisors is an integer number (91155456).

Almost surely, 2^6303262240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6303262240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8750923776).

6303262240 is an abundant number, since it is smaller than the sum of its proper divisors (11198585312).

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

6303262240 is a wasteful number, since it uses less digits than its factorization.

6303262240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5103 (or 5095 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 6303262240 is about 79393.0868526977. The cubic root of 6303262240 is about 1847.2334826973.

Adding to 6303262240 its reverse (422623036), we get a palindrome (6725885276).

The spelling of 6303262240 in words is "six billion, three hundred three million, two hundred sixty-two thousand, two hundred forty".