2468339516160 has 1440 divisors, whose sum is σ = 10636910592000. Its totient is φ = 545748295680.

The previous prime is 2468339516143. The next prime is 2468339516161. The reversal of 2468339516160 is 616159338642.

2468339516160 is a `hidden beast` number, since 2 + 4 + 6 + 83 + 39 + 516 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×2468339516160² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2468339516097 and 2468339516106.

It is not an unprimeable number, because it can be changed into a prime (2468339516161) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 1102428321 + ... + 1102430559.

Almost surely, 2^{2468339516160} is an apocalyptic number.

2468339516160 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 2468339516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5318455296000).

2468339516160 is an abundant number, since it is smaller than the sum of its proper divisors (8168571075840).

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

2468339516160 is an equidigital number, since it uses as much as digits as its factorization.

2468339516160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 2287 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 2468339516160 in words is "two trillion, four hundred sixty-eight billion, three hundred thirty-nine million, five hundred sixteen thousand, one hundred sixty".