6180258240 has 336 divisors, whose sum is σ = 23891370048. Its totient is φ = 1454948352.

The previous prime is 6180258199. The next prime is 6180258257. The reversal of 6180258240 is 428520816.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6180258195 and 6180258204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 857532 + ... + 864708.

It is an arithmetic number, because the mean of its divisors is an integer number (71105268).

Almost surely, 2^6180258240 is an apocalyptic number.

6180258240 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 6180258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11945685024).

6180258240 is an abundant number, since it is smaller than the sum of its proper divisors (17711111808).

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

6180258240 is a wasteful number, since it uses less digits than its factorization.

6180258240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7236 (or 7223 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 6180258240 is about 78614.6184879123. The cubic root of 6180258240 is about 1835.1386165385.

The spelling of 6180258240 in words is "six billion, one hundred eighty million, two hundred fifty-eight thousand, two hundred forty".