6312090240 has 448 divisors, whose sum is σ = 23037467040. Its totient is φ = 1652742144.

The previous prime is 6312090233. The next prime is 6312090241. The reversal of 6312090240 is 420902136.

6312090240 is a `hidden beast` number, since 631 + 2 + 0 + 9 + 0 + 24 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6312090241) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 38724399 + ... + 38724561.

Almost surely, 2^6312090240 is an apocalyptic number.

6312090240 is a gapful number since it is divisible by the number (60) 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 6312090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11518733520).

6312090240 is an abundant number, since it is smaller than the sum of its proper divisors (16725376800).

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

6312090240 is an equidigital number, since it uses as much as digits as its factorization.

6312090240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 6312090240 is about 79448.6641800855. The cubic root of 6312090240 is about 1848.0954580476.

Adding to 6312090240 its reverse (420902136), we get a palindrome (6732992376).

The spelling of 6312090240 in words is "six billion, three hundred twelve million, ninety thousand, two hundred forty".