6260480240 has 320 divisors, whose sum is σ = 18238832640. Its totient is φ = 1950842880.

The previous prime is 6260480189. The next prime is 6260480263. The reversal of 6260480240 is 420840626.

It is a happy number.

It is a super-2 number, since 2×6260480240² = 78387225670860915200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6260480197 and 6260480206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49295057 + ... + 49295183.

It is an arithmetic number, because the mean of its divisors is an integer number (56996352).

Almost surely, 2^6260480240 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 6260480240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9119416320).

6260480240 is an abundant number, since it is smaller than the sum of its proper divisors (11978352400).

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

6260480240 is a wasteful number, since it uses less digits than its factorization.

6260480240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 6260480240 is about 79123.1965987219. The cubic root of 6260480240 is about 1843.0447619523.

The spelling of 6260480240 in words is "six billion, two hundred sixty million, four hundred eighty thousand, two hundred forty".