2304026944128 has 640 divisors, whose sum is σ = 8462990363520. Its totient is φ = 605933789184.

The previous prime is 2304026944117. The next prime is 2304026944187. The reversal of 2304026944128 is 8214496204032.

2304026944128 is a `hidden beast` number, since 2 + 30 + 402 + 6 + 94 + 4 + 128 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 351917751 + ... + 351924297.

It is an arithmetic number, because the mean of its divisors is an integer number (13223422443).

Almost surely, 2^{2304026944128} is an apocalyptic number.

2304026944128 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 2304026944128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4231495181760).

2304026944128 is an abundant number, since it is smaller than the sum of its proper divisors (6158963419392).

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

2304026944128 is a wasteful number, since it uses less digits than its factorization.

2304026944128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6966 (or 6945 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 2304026944128 in words is "two trillion, three hundred four billion, twenty-six million, nine hundred forty-four thousand, one hundred twenty-eight".