2263065446400 has 288 divisors, whose sum is σ = 8161507317600. Its totient is φ = 548621516800.

The previous prime is 2263065446387. The next prime is 2263065446419. The reversal of 2263065446400 is 46445603622.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1019896 + ... + 2359304.

It is an arithmetic number, because the mean of its divisors is an integer number (28338567075).

Almost surely, 2^{2263065446400} is an apocalyptic number.

2263065446400 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 2263065446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4080753658800).

2263065446400 is an abundant number, since it is smaller than the sum of its proper divisors (5898441871200).

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

2263065446400 is a wasteful number, since it uses less digits than its factorization.

2263065446400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339455 (or 1339430 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

The spelling of 2263065446400 in words is "two trillion, two hundred sixty-three billion, sixty-five million, four hundred forty-six thousand, four hundred".