6142524220 has 96 divisors (see below), whose sum is σ = 15509491200. Its totient is φ = 1998845184.

The previous prime is 6142524217. The next prime is 6142524221. The reversal of 6142524220 is 224252416.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6142524221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226719 + ... + 252361.

It is an arithmetic number, because the mean of its divisors is an integer number (161557200).

Almost surely, 2^6142524220 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 6142524220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7754745600).

6142524220 is an abundant number, since it is smaller than the sum of its proper divisors (9366966980).

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

6142524220 is a wasteful number, since it uses less digits than its factorization.

6142524220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25747 (or 25745 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 6142524220 is about 78374.2573808518. The cubic root of 6142524220 is about 1831.3961316910.

Adding to 6142524220 its reverse (224252416), we get a palindrome (6366776636).

The spelling of 6142524220 in words is "six billion, one hundred forty-two million, five hundred twenty-four thousand, two hundred twenty".