2412305985600 has 945 divisors, whose sum is σ = 10211195880717. Its totient is φ = 538561336320.

The previous prime is 2412305985539. The next prime is 2412305985601. The reversal of 2412305985600 is 65895032142.

The square root of 2412305985600 is 1553160.

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

2412305985600 is a `hidden beast` number, since 2 + 4 + 1 + 2 + 3 + 0 + 598 + 56 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 868430154816 + 1543875830784 = 931896^2 + 1242528^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2412305985601) 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 134 ways as a sum of consecutive naturals, for example, 56100139179 + ... + 56100139221.

Almost surely, 2^{2412305985600} is an apocalyptic number.

2412305985600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2412305985600 is the 1553160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2412305985600

2412305985600 is an abundant number, since it is smaller than the sum of its proper divisors (7798889895117).

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

2412305985600 is an frugal number, since it uses more digits than its factorization.

2412305985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 2412305985600 in words is "two trillion, four hundred twelve billion, three hundred five million, nine hundred eighty-five thousand, six hundred".