2428622783104 has 256 divisors, whose sum is σ = 5965581726720. Its totient is φ = 961201963008.

The previous prime is 2428622783033. The next prime is 2428622783129. The reversal of 2428622783104 is 4013872268242.

It is a super-2 number, since 2×2428622783104² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219045849 + ... + 219056935.

It is an arithmetic number, because the mean of its divisors is an integer number (23303053620).

Almost surely, 2^{2428622783104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2428622783104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2982790863360).

2428622783104 is an abundant number, since it is smaller than the sum of its proper divisors (3536958943616).

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

2428622783104 is a wasteful number, since it uses less digits than its factorization.

2428622783104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11395 (or 11383 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 49.

The spelling of 2428622783104 in words is "two trillion, four hundred twenty-eight billion, six hundred twenty-two million, seven hundred eighty-three thousand, one hundred four".