2259816300000 has 3456 divisors, whose sum is σ = 10772310528000. Its totient is φ = 457228800000.

The previous prime is 2259816299999. The next prime is 2259816300043. The reversal of 2259816300000 is 36189522.

2259816300000 is a `hidden beast` number, since 2 + 2 + 598 + 1 + 63 + 0 + 0 + 0 + 0 + 0 = 666.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

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

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 575 ways as a sum of consecutive naturals, for example, 72897299985 + ... + 72897300015.

It is an arithmetic number, because the mean of its divisors is an integer number (3116988000).

Almost surely, 2^{2259816300000} is an apocalyptic number.

2259816300000 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 2259816300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5386155264000).

2259816300000 is an abundant number, since it is smaller than the sum of its proper divisors (8512494228000).

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

2259816300000 is a wasteful number, since it uses less digits than its factorization.

2259816300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 96 counting only the distinct ones).

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

The spelling of 2259816300000 in words is "two trillion, two hundred fifty-nine billion, eight hundred sixteen million, three hundred thousand".