2268341100480 has 2240 divisors, whose sum is σ = 9870792478848. Its totient is φ = 436988805120.

The previous prime is 2268341100449. The next prime is 2268341100481. The reversal of 2268341100480 is 840011438622.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2268341100481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 31073165724 + ... + 31073165796.

Almost surely, 2^{2268341100480} is an apocalyptic number.

2268341100480 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 2268341100480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4935396239424).

2268341100480 is an abundant number, since it is smaller than the sum of its proper divisors (7602451378368).

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

2268341100480 is a wasteful number, since it uses less digits than its factorization.

2268341100480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 2268341100480 in words is "two trillion, two hundred sixty-eight billion, three hundred forty-one million, one hundred thousand, four hundred eighty".