2412560475600 has 240 divisors, whose sum is σ = 8450292938304. Its totient is φ = 583511040000.

The previous prime is 2412560475571. The next prime is 2412560475607. The reversal of 2412560475600 is 65740652142.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2412560475607) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5504550 + ... + 5926650.

Almost surely, 2^{2412560475600} is an apocalyptic number.

2412560475600 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 2412560475600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4225146469152).

2412560475600 is an abundant number, since it is smaller than the sum of its proper divisors (6037732462704).

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

2412560475600 is a wasteful number, since it uses less digits than its factorization.

2412560475600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422566 (or 422555 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 2412560475600 in words is "two trillion, four hundred twelve billion, five hundred sixty million, four hundred seventy-five thousand, six hundred".