6241003200 has 252 divisors, whose sum is σ = 22263735000. Its totient is φ = 1658142720.

The previous prime is 6241003193. The next prime is 6241003213. The reversal of 6241003200 is 23001426.

It is a happy number.

6241003200 is a `hidden beast` number, since 624 + 10 + 0 + 32 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4996176 + ... + 4997424.

Almost surely, 2^6241003200 is an apocalyptic number.

6241003200 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 6241003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11131867500).

6241003200 is an abundant number, since it is smaller than the sum of its proper divisors (16022731800).

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

6241003200 is a wasteful number, since it uses less digits than its factorization.

6241003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 6241003200 is about 79000.0202531620. The cubic root of 6241003200 is about 1841.1314716930.

Adding to 6241003200 its reverse (23001426), we get a palindrome (6264004626).

The spelling of 6241003200 in words is "six billion, two hundred forty-one million, three thousand, two hundred".