2259813007300 has 144 divisors (see below), whose sum is σ = 5467142580480. Its totient is φ = 805738752000.

The previous prime is 2259813007229. The next prime is 2259813007301. The reversal of 2259813007300 is 37003189522.

It is not an unprimeable number, because it can be changed into a prime (2259813007301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137945110 + ... + 137961490.

It is an arithmetic number, because the mean of its divisors is an integer number (37966267920).

Almost surely, 2^{2259813007300} is an apocalyptic number.

2259813007300 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 2259813007300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2733571290240).

2259813007300 is an abundant number, since it is smaller than the sum of its proper divisors (3207329573180).

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

2259813007300 is a wasteful number, since it uses less digits than its factorization.

2259813007300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20702 (or 20695 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 2259813007300 in words is "two trillion, two hundred fifty-nine billion, eight hundred thirteen million, seven thousand, three hundred".