6242019840 has 960 divisors, whose sum is σ = 27429494400. Its totient is φ = 1337720832.

The previous prime is 6242019803. The next prime is 6242019871. The reversal of 6242019840 is 489102426.

6242019840 is a `hidden beast` number, since 6 + 2 + 420 + 198 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 = 6242019795 and 6242019804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64350672 + ... + 64350768.

It is an arithmetic number, because the mean of its divisors is an integer number (28572390).

Almost surely, 2^6242019840 is an apocalyptic number.

6242019840 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 6242019840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13714747200).

6242019840 is an abundant number, since it is smaller than the sum of its proper divisors (21187474560).

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

6242019840 is a wasteful number, since it uses less digits than its factorization.

6242019840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 6242019840 is about 79006.4544198764. The cubic root of 6242019840 is about 1841.2314377943.

The spelling of 6242019840 in words is "six billion, two hundred forty-two million, nineteen thousand, eight hundred forty".