2412809118720 has 3168 divisors, whose sum is σ = 11990063344896. Its totient is φ = 433166745600.

The previous prime is 2412809118661. The next prime is 2412809118721. The reversal of 2412809118720 is 278119082142.

2412809118720 is a `hidden beast` number, since 2 + 412 + 80 + 91 + 1 + 8 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

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 (2412809118721) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13330437030 + ... + 13330437210.

Almost surely, 2^{2412809118720} is an apocalyptic number.

2412809118720 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 2412809118720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5995031672448).

2412809118720 is an abundant number, since it is smaller than the sum of its proper divisors (9577254226176).

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

2412809118720 is a wasteful number, since it uses less digits than its factorization.

2412809118720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 2412809118720 in words is "two trillion, four hundred twelve billion, eight hundred nine million, one hundred eighteen thousand, seven hundred twenty".