2428717507920 has 720 divisors, whose sum is σ = 9672140224656. Its totient is φ = 543672729600.

The previous prime is 2428717507889. The next prime is 2428717507933. The reversal of 2428717507920 is 297057178242.

2428717507920 is a `hidden beast` number, since 2 + 42 + 8 + 7 + 1 + 7 + 507 + 92 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 15330401856 + 2413387106064 = 123816^2 + 1553508^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 78479650 + ... + 78510590.

Almost surely, 2^{2428717507920} is an apocalyptic number.

2428717507920 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 2428717507920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4836070112328).

2428717507920 is an abundant number, since it is smaller than the sum of its proper divisors (7243422716736).

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

2428717507920 is a wasteful number, since it uses less digits than its factorization.

2428717507920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31052 (or 31032 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 2428717507920 in words is "two trillion, four hundred twenty-eight billion, seven hundred seventeen million, five hundred seven thousand, nine hundred twenty".