2428617816640 has 28 divisors (see below), whose sum is σ = 5783146176636. Its totient is φ = 971447126528.

The previous prime is 2428617816617. The next prime is 2428617816643. The reversal of 2428617816640 is 466187168242.

2428617816640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1217332675584 + 1211285141056 = 1103328^2 + 1100584^2 .

It is not an unprimeable number, because it can be changed into a prime (2428617816643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3794715019 + ... + 3794715658.

Almost surely, 2^{2428617816640} is an apocalyptic number.

2428617816640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2428617816640 is an abundant number, since it is smaller than the sum of its proper divisors (3354528359996).

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

2428617816640 is an equidigital number, since it uses as much as digits as its factorization.

2428617816640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7589430694 (or 7589430684 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 55.

The spelling of 2428617816640 in words is "two trillion, four hundred twenty-eight billion, six hundred seventeen million, eight hundred sixteen thousand, six hundred forty".