6258250240 has 320 divisors, whose sum is σ = 17309749248. Its totient is φ = 2149171200.

The previous prime is 6258250223. The next prime is 6258250253. The reversal of 6258250240 is 420528526.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (34) 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 = 6258250196 and 6258250205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58488267 + ... + 58488373.

Almost surely, 2^6258250240 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 6258250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8654874624).

6258250240 is an abundant number, since it is smaller than the sum of its proper divisors (11051499008).

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

6258250240 is a wasteful number, since it uses less digits than its factorization.

6258250240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The square root of 6258250240 is about 79109.1033952478. The cubic root of 6258250240 is about 1842.8259034540.

Adding to 6258250240 its reverse (420528526), we get a palindrome (6678778766).

The spelling of 6258250240 in words is "six billion, two hundred fifty-eight million, two hundred fifty thousand, two hundred forty".