2289715200 has 216 divisors, whose sum is σ = 8201916450. Its totient is φ = 610467840.

The previous prime is 2289715189. The next prime is 2289715217. The reversal of 2289715200 is 25179822.

It can be written as a sum of positive squares in 3 ways, for example, as 1351885824 + 937829376 = 36768^2 + 30624^2 .

It is a super-2 number, since 2×2289715200² = 10485591394222080000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 458316 + ... + 463284.

Almost surely, 2^2289715200 is an apocalyptic number.

2289715200 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 2289715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4100958225).

2289715200 is an abundant number, since it is smaller than the sum of its proper divisors (5912201250).

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

2289715200 is a wasteful number, since it uses less digits than its factorization.

2289715200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5007 (or 4979 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 2289715200 is about 47850.9686422334. The cubic root of 2289715200 is about 1318.0356456948.

The spelling of 2289715200 in words is "two billion, two hundred eighty-nine million, seven hundred fifteen thousand, two hundred".