6301290240 has 648 divisors, whose sum is σ = 26444985840. Its totient is φ = 1416683520.

The previous prime is 6301290187. The next prime is 6301290263. The reversal of 6301290240 is 420921036.

6301290240 is a `hidden beast` number, since 630 + 1 + 2 + 9 + 0 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 103299810 + ... + 103299870.

Almost surely, 2^6301290240 is an apocalyptic number.

6301290240 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 6301290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13222492920).

6301290240 is an abundant number, since it is smaller than the sum of its proper divisors (20143695600).

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

6301290240 is an equidigital number, since it uses as much as digits as its factorization.

6301290240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 6301290240 is about 79380.6666638672. Note that the first 5 decimals coincide. The cubic root of 6301290240 is about 1847.0408245552.

The spelling of 6301290240 in words is "six billion, three hundred one million, two hundred ninety thousand, two hundred forty".