2262890464800 has 288 divisors, whose sum is σ = 8419831846272. Its totient is φ = 517116641280.

The previous prime is 2262890464763. The next prime is 2262890464811. The reversal of 2262890464800 is 84640982622.

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 47 ways as a sum of consecutive naturals, for example, 92001304 + ... + 92025896.

It is an arithmetic number, because the mean of its divisors is an integer number (29235527244).

Almost surely, 2^{2262890464800} is an apocalyptic number.

2262890464800 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 2262890464800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4209915923136).

2262890464800 is an abundant number, since it is smaller than the sum of its proper divisors (6156941381472).

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

2262890464800 is a wasteful number, since it uses less digits than its factorization.

2262890464800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30100 (or 30087 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 51.

The spelling of 2262890464800 in words is "two trillion, two hundred sixty-two billion, eight hundred ninety million, four hundred sixty-four thousand, eight hundred".