2842467828480 has 2592 divisors, whose sum is σ = 12988871078400. Its totient is φ = 585224994816.

The previous prime is 2842467828463. The next prime is 2842467828517. The reversal of 2842467828480 is 848287642482.

2842467828480 is a `hidden beast` number, since 2 + 8 + 42 + 46 + 78 + 2 + 8 + 480 = 666.

It is a super-2 number, since 2×2842467828480² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 287 ways as a sum of consecutive naturals, for example, 17020765357 + ... + 17020765523.

Almost surely, 2^{2842467828480} is an apocalyptic number.

2842467828480 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 2842467828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6494435539200).

2842467828480 is an abundant number, since it is smaller than the sum of its proper divisors (10146403249920).

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

2842467828480 is a wasteful number, since it uses less digits than its factorization.

2842467828480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 88080384, while the sum is 63.

The spelling of 2842467828480 in words is "two trillion, eight hundred forty-two billion, four hundred sixty-seven million, eight hundred twenty-eight thousand, four hundred eighty".