2478127841280 has 2304 divisors, whose sum is σ = 11556102297600. Its totient is φ = 495338913792.

The previous prime is 2478127841279. The next prime is 2478127841309. The reversal of 2478127841280 is 821487218742.

2478127841280 is a `hidden beast` number, since 2 + 4 + 7 + 81 + 2 + 78 + 412 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×2478127841280² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 130427781111 + ... + 130427781129.

It is an arithmetic number, because the mean of its divisors is an integer number (5015669400).

Almost surely, 2^{2478127841280} is an apocalyptic number.

2478127841280 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 2478127841280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5778051148800).

2478127841280 is an abundant number, since it is smaller than the sum of its proper divisors (9077974456320).

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

2478127841280 is an frugal number, since it uses more digits than its factorization.

2478127841280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 3211264, while the sum is 54.

The spelling of 2478127841280 in words is "two trillion, four hundred seventy-eight billion, one hundred twenty-seven million, eight hundred forty-one thousand, two hundred eighty".