2413064008080 has 560 divisors, whose sum is σ = 9242772799680. Its totient is φ = 580755225600.

The previous prime is 2413064007989. The next prime is 2413064008087. The reversal of 2413064008080 is 808004603142.

2413064008080 is a `hidden beast` number, since 2 + 4 + 1 + 3 + 0 + 640 + 0 + 8 + 0 + 8 + 0 = 666.

It is a super-2 number, since 2×2413064008080² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2413064008087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 89157750 + ... + 89184810.

It is an arithmetic number, because the mean of its divisors is an integer number (16504951428).

Almost surely, 2^{2413064008080} is an apocalyptic number.

2413064008080 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 2413064008080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4621386399840).

2413064008080 is an abundant number, since it is smaller than the sum of its proper divisors (6829708791600).

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

2413064008080 is a wasteful number, since it uses less digits than its factorization.

2413064008080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27242 (or 27221 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 2413064008080 in words is "two trillion, four hundred thirteen billion, sixty-four million, eight thousand, eighty".