6241445280 has 1152 divisors, whose sum is σ = 28531077120. Its totient is φ = 1254113280.

The previous prime is 6241445183. The next prime is 6241445303. The reversal of 6241445280 is 825441426.

6241445280 is a `hidden beast` number, since 624 + 1 + 4 + 4 + 5 + 28 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 87907645 + ... + 87907715.

It is an arithmetic number, because the mean of its divisors is an integer number (24766560).

Almost surely, 2^6241445280 is an apocalyptic number.

6241445280 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 6241445280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14265538560).

6241445280 is an abundant number, since it is smaller than the sum of its proper divisors (22289631840).

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

6241445280 is a wasteful number, since it uses less digits than its factorization.

6241445280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 6241445280 is about 79002.8181775815. The cubic root of 6241445280 is about 1841.1749427055.

The spelling of 6241445280 in words is "six billion, two hundred forty-one million, four hundred forty-five thousand, two hundred eighty".