2289716100 has 378 divisors, whose sum is σ = 8679401514. Its totient is φ = 522547200.

The previous prime is 2289716063. The next prime is 2289716101. The reversal of 2289716100 is 16179822.

It can be written as a sum of positive squares in 3 ways, for example, as 497379204 + 1792336896 = 22302^2 + 42336^2 .

It is a tau number, because it is divible by the number of its divisors (378).

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

It is not an unprimeable number, because it can be changed into a prime (2289716101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 3571780 + ... + 3572420.

Almost surely, 2^2289716100 is an apocalyptic number.

2289716100 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 2289716100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4339700757).

2289716100 is an abundant number, since it is smaller than the sum of its proper divisors (6389685414).

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

2289716100 is a wasteful number, since it uses less digits than its factorization.

2289716100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 2289716100 is about 47850.9780464308. The cubic root of 2289716100 is about 1318.0358183847.

The spelling of 2289716100 in words is "two billion, two hundred eighty-nine million, seven hundred sixteen thousand, one hundred".