2412195770880 has 720 divisors, whose sum is σ = 9734727562560. Its totient is φ = 550413287424.

The previous prime is 2412195770801. The next prime is 2412195770923. The reversal of 2412195770880 is 880775912142.

2412195770880 is a `hidden beast` number, since 2 + 41 + 21 + 9 + 577 + 0 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 820752451 + ... + 820755389.

It is an arithmetic number, because the mean of its divisors is an integer number (13520454948).

Almost surely, 2^{2412195770880} is an apocalyptic number.

2412195770880 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 2412195770880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4867363781280).

2412195770880 is an abundant number, since it is smaller than the sum of its proper divisors (7322531791680).

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

2412195770880 is a wasteful number, since it uses less digits than its factorization.

2412195770880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3709 (or 3683 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 2412195770880 in words is "two trillion, four hundred twelve billion, one hundred ninety-five million, seven hundred seventy thousand, eight hundred eighty".