2478343301280 has 2880 divisors, whose sum is σ = 11893226526720. Its totient is φ = 479175782400.

The previous prime is 2478343301267. The next prime is 2478343301339. The reversal of 2478343301280 is 821033438742.

2478343301280 is a `hidden beast` number, since 2 + 4 + 7 + 8 + 34 + 330 + 1 + 280 = 666.

It is a super-3 number, since 3×2478343301280³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

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 479 ways as a sum of consecutive naturals, for example, 9423358429 + ... + 9423358691.

It is an arithmetic number, because the mean of its divisors is an integer number (4129592544).

Almost surely, 2^{2478343301280} is an apocalyptic number.

2478343301280 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 2478343301280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5946613263360).

2478343301280 is an abundant number, since it is smaller than the sum of its proper divisors (9414883225440).

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

2478343301280 is a wasteful number, since it uses less digits than its factorization.

2478343301280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 2478343301280 in words is "two trillion, four hundred seventy-eight billion, three hundred forty-three million, three hundred one thousand, two hundred eighty".