2266563411000 has 2048 divisors, whose sum is σ = 9726013440000. Its totient is φ = 477346867200.

The previous prime is 2266563410983. The next prime is 2266563411061. The reversal of 2266563411000 is 1143656622.

2266563411000 is a `hidden beast` number, since 2 + 2 + 6 + 6 + 5 + 634 + 1 + 10 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 511 ways as a sum of consecutive naturals, for example, 13905296919 + ... + 13905297081.

It is an arithmetic number, because the mean of its divisors is an integer number (4749030000).

Almost surely, 2^{2266563411000} is an apocalyptic number.

2266563411000 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 2266563411000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4863006720000).

2266563411000 is an abundant number, since it is smaller than the sum of its proper divisors (7459450029000).

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

2266563411000 is a wasteful number, since it uses less digits than its factorization.

2266563411000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 2266563411000 in words is "two trillion, two hundred sixty-six billion, five hundred sixty-three million, four hundred eleven thousand".