2259830016000 has 672 divisors, whose sum is σ = 8455568448600. Its totient is φ = 602571571200.

The previous prime is 2259830015959. The next prime is 2259830016001. The reversal of 2259830016000 is 6100389522.

2259830016000 is a `hidden beast` number, since 2 + 2 + 598 + 3 + 0 + 0 + 1 + 60 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1469409444864 + 790420571136 = 1212192^2 + 889056^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2259830016001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 186617946 + ... + 186630054.

Almost surely, 2^{2259830016000} is an apocalyptic number.

2259830016000 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 2259830016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4227784224300).

2259830016000 is an abundant number, since it is smaller than the sum of its proper divisors (6195738432600).

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

2259830016000 is an frugal number, since it uses more digits than its factorization.

2259830016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12164 (or 12119 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 2259830016000 in words is "two trillion, two hundred fifty-nine billion, eight hundred thirty million, sixteen thousand".