2289106650816 has 140 divisors (see below), whose sum is σ = 6812667477000. Its totient is φ = 759995136000.

The previous prime is 2289106650811. The next prime is 2289106650839. The reversal of 2289106650816 is 6180566019822.

2289106650816 is a `hidden beast` number, since 2 + 28 + 9 + 106 + 6 + 508 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2289106650811) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 421560 + ... + 2180808.

It is an arithmetic number, because the mean of its divisors is an integer number (48661910550).

Almost surely, 2^{2289106650816} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2289106650816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3406333738500).

2289106650816 is an abundant number, since it is smaller than the sum of its proper divisors (4523560826184).

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

2289106650816 is a wasteful number, since it uses less digits than its factorization.

2289106650816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1759524 (or 1759505 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 2289106650816 in words is "two trillion, two hundred eighty-nine billion, one hundred six million, six hundred fifty thousand, eight hundred sixteen".