2289999600 has 600 divisors, whose sum is σ = 9823418880. Its totient is φ = 499530240.

The previous prime is 2289999559. The next prime is 2289999629. The reversal of 2289999600 is 69999822.

2289999600 is a `hidden beast` number, since 2 + 28 + 9 + 9 + 9 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 5216181 + ... + 5216619.

Almost surely, 2^2289999600 is an apocalyptic number.

2289999600 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 2289999600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4911709440).

2289999600 is an abundant number, since it is smaller than the sum of its proper divisors (7533419280).

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

2289999600 is a wasteful number, since it uses less digits than its factorization.

2289999600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The square root of 2289999600 is about 47853.9402766376. The cubic root of 2289999600 is about 1318.0902134447.

The spelling of 2289999600 in words is "two billion, two hundred eighty-nine million, nine hundred ninety-nine thousand, six hundred".