2468227546080 has 384 divisors, whose sum is σ = 8691005030400. Its totient is φ = 654225887232.

The previous prime is 2468227546073. The next prime is 2468227546093. The reversal of 2468227546080 is 806457228642.

2468227546080 is a `hidden beast` number, since 2 + 4 + 6 + 8 + 2 + 27 + 5 + 4 + 608 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 779356657 + ... + 779359823.

It is an arithmetic number, because the mean of its divisors is an integer number (22632825600).

Almost surely, 2^{2468227546080} is an apocalyptic number.

2468227546080 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 2468227546080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4345502515200).

2468227546080 is an abundant number, since it is smaller than the sum of its proper divisors (6222777484320).

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

2468227546080 is a wasteful number, since it uses less digits than its factorization.

2468227546080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4223 (or 4209 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 2468227546080 in words is "two trillion, four hundred sixty-eight billion, two hundred twenty-seven million, five hundred forty-six thousand, eighty".