6242299200 has 504 divisors, whose sum is σ = 23172709560. Its totient is φ = 1592524800.

The previous prime is 6242299163. The next prime is 6242299201. The reversal of 6242299200 is 29922426.

It is a happy number.

6242299200 is a `hidden beast` number, since 624 + 2 + 2 + 9 + 9 + 20 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2843875584 + 3398423616 = 53328^2 + 58296^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6242299201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 57268746 + ... + 57268854.

Almost surely, 2^6242299200 is an apocalyptic number.

6242299200 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 6242299200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11586354780).

6242299200 is an abundant number, since it is smaller than the sum of its proper divisors (16930410360).

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

6242299200 is a wasteful number, since it uses less digits than its factorization.

6242299200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 6242299200 is about 79008.2223569168. Note that the first 3 decimals coincide. The cubic root of 6242299200 is about 1841.2589053317.

The spelling of 6242299200 in words is "six billion, two hundred forty-two million, two hundred ninety-nine thousand, two hundred".