2265849868800 has 960 divisors, whose sum is σ = 9087677280000. Its totient is φ = 485826232320.

The previous prime is 2265849868753. The next prime is 2265849868949. The reversal of 2265849868800 is 88689485622.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1814130576 + ... + 1814131824.

It is an arithmetic number, because the mean of its divisors is an integer number (9466330500).

Almost surely, 2^{2265849868800} is an apocalyptic number.

2265849868800 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 2265849868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4543838640000).

2265849868800 is an abundant number, since it is smaller than the sum of its proper divisors (6821827411200).

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

2265849868800 is a wasteful number, since it uses less digits than its factorization.

2265849868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 66.

The spelling of 2265849868800 in words is "two trillion, two hundred sixty-five billion, eight hundred forty-nine million, eight hundred sixty-eight thousand, eight hundred".