2361300480 has 600 divisors, whose sum is σ = 10280658960. Its totient is φ = 490659840.

The previous prime is 2361300443. The next prime is 2361300481. The reversal of 2361300480 is 840031632.

It is a happy number.

2361300480 is a `hidden beast` number, since 2 + 3 + 613 + 0 + 0 + 48 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2361300481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 214663675 + ... + 214663685.

Almost surely, 2^2361300480 is an apocalyptic number.

2361300480 is a gapful number since it is divisible by the number (20) 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 2361300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5140329480).

2361300480 is an abundant number, since it is smaller than the sum of its proper divisors (7919358480).

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

2361300480 is an frugal number, since it uses more digits than its factorization.

2361300480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2361300480 is about 48593.2143410991. The cubic root of 2361300480 is about 1331.6305552246.

The spelling of 2361300480 in words is "two billion, three hundred sixty-one million, three hundred thousand, four hundred eighty".