2412823438080 has 504 divisors, whose sum is σ = 9453024115920. Its totient is φ = 584924405760.

The previous prime is 2412823438049. The next prime is 2412823438093. The reversal of 2412823438080 is 808343282142.

2412823438080 is a `hidden beast` number, since 2 + 412 + 82 + 3 + 4 + 3 + 80 + 80 = 666.

It is a super-3 number, since 3×2412823438080³ (a number of 38 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 10146786 + ... + 10381854.

It is an arithmetic number, because the mean of its divisors is an integer number (18756000230).

Almost surely, 2^{2412823438080} is an apocalyptic number.

2412823438080 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 2412823438080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4726512057960).

2412823438080 is an abundant number, since it is smaller than the sum of its proper divisors (7040200677840).

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

2412823438080 is an equidigital number, since it uses as much as digits as its factorization.

2412823438080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235119 (or 235090 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 2412823438080 in words is "two trillion, four hundred twelve billion, eight hundred twenty-three million, four hundred thirty-eight thousand, eighty".