2289950208 has 480 divisors, whose sum is σ = 8388796416. Its totient is φ = 585252864.

The previous prime is 2289950203. The next prime is 2289950233. The reversal of 2289950208 is 8020599822.

It is a super-3 number, since 3×2289950208³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2289950203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18031041 + ... + 18031167.

Almost surely, 2^2289950208 is an apocalyptic number.

2289950208 is a gapful number since it is divisible by the number (28) 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 2289950208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4194398208).

2289950208 is an abundant number, since it is smaller than the sum of its proper divisors (6098846208).

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

2289950208 is a wasteful number, since it uses less digits than its factorization.

2289950208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 2289950208 is about 47853.4242034988. The cubic root of 2289950208 is about 1318.0807369394.

The spelling of 2289950208 in words is "two billion, two hundred eighty-nine million, nine hundred fifty thousand, two hundred eight".