6241090800 has 480 divisors, whose sum is σ = 23802048000. Its totient is φ = 1396899840.

The previous prime is 6241090727. The next prime is 6241090811. The reversal of 6241090800 is 80901426.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24284272 + ... + 24284528.

It is an arithmetic number, because the mean of its divisors is an integer number (49587600).

Almost surely, 2^6241090800 is an apocalyptic number.

6241090800 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 6241090800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11901024000).

6241090800 is an abundant number, since it is smaller than the sum of its proper divisors (17560957200).

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

6241090800 is a wasteful number, since it uses less digits than its factorization.

6241090800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 6241090800 is about 79000.5746814541. The cubic root of 6241090800 is about 1841.1400858190.

The spelling of 6241090800 in words is "six billion, two hundred forty-one million, ninety thousand, eight hundred".