2412195609600 has 792 divisors, whose sum is σ = 10189248862208. Its totient is φ = 533562163200.

The previous prime is 2412195609589. The next prime is 2412195609601. The reversal of 2412195609600 is 69065912142.

2412195609600 is a `hidden beast` number, since 2 + 4 + 1 + 21 + 9 + 560 + 9 + 60 + 0 = 666.

It is a super-2 number, since 2×2412195609600² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2412195609601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49972677 + ... + 50020923.

Almost surely, 2^{2412195609600} is an apocalyptic number.

2412195609600 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 2412195609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5094624431104).

2412195609600 is an abundant number, since it is smaller than the sum of its proper divisors (7777053252608).

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

2412195609600 is a wasteful number, since it uses less digits than its factorization.

2412195609600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48321 (or 48295 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 2412195609600 in words is "two trillion, four hundred twelve billion, one hundred ninety-five million, six hundred nine thousand, six hundred".