6241000000 has 147 divisors (see below), whose sum is σ = 15678842277. Its totient is φ = 2464800000.

The previous prime is 6240999971. The next prime is 6241000019. The reversal of 6241000000 is 1426.

The square root of 6241000000 is 79000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 5467715136 + 773284864 = 73944^2 + 27808^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 78999961 + ... + 79000039.

It is an arithmetic number, because the mean of its divisors is an integer number (106658791).

Almost surely, 2^6241000000 is an apocalyptic number.

6241000000 is the 79000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6241000000

6241000000 is an abundant number, since it is smaller than the sum of its proper divisors (9437842277).

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

6241000000 is an frugal number, since it uses more digits than its factorization.

6241000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The cubic root of 6241000000 is about 1841.1311570202.

Adding to 6241000000 its reverse (1426), we get a palindrome (6241001426).

The spelling of 6241000000 in words is "six billion, two hundred forty-one million", and thus it is an aban number.