2426350516128 has 432 divisors, whose sum is σ = 9038605605120. Its totient is φ = 609889996800.

The previous prime is 2426350516087. The next prime is 2426350516147. The reversal of 2426350516128 is 8216150536242.

2426350516128 is a `hidden beast` number, since 2 + 4 + 2 + 6 + 3 + 5 + 0 + 516 + 128 = 666.

2426350516128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2426350516128² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4560088 + ... + 5064296.

It is an arithmetic number, because the mean of its divisors is an integer number (20922698160).

Almost surely, 2^{2426350516128} is an apocalyptic number.

2426350516128 is a gapful number since it is divisible by the number (28) 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 2426350516128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4519302802560).

2426350516128 is an abundant number, since it is smaller than the sum of its proper divisors (6612255088992).

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

2426350516128 is a wasteful number, since it uses less digits than its factorization.

2426350516128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504281 (or 504263 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 2426350516128 in words is "two trillion, four hundred twenty-six billion, three hundred fifty million, five hundred sixteen thousand, one hundred twenty-eight".