2289949200 has 540 divisors, whose sum is σ = 9995999104. Its totient is φ = 475200000.

The previous prime is 2289949183. The next prime is 2289949213. The reversal of 2289949200 is 29499822.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3048825 + ... + 3049575.

Almost surely, 2^2289949200 is an apocalyptic number.

2289949200 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 2289949200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4997999552).

2289949200 is an abundant number, since it is smaller than the sum of its proper divisors (7706049904).

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

2289949200 is a wasteful number, since it uses less digits than its factorization.

2289949200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 2289949200 is about 47853.4136713359. The cubic root of 2289949200 is about 1318.0805435399.

The spelling of 2289949200 in words is "two billion, two hundred eighty-nine million, nine hundred forty-nine thousand, two hundred".