2289738240 has 320 divisors, whose sum is σ = 8223937920. Its totient is φ = 603832320.

The previous prime is 2289738163. The next prime is 2289738281. The reversal of 2289738240 is 428379822.

2289738240 is a `hidden beast` number, since 228 + 9 + 7 + 382 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 10851735 + ... + 10851945.

It is an arithmetic number, because the mean of its divisors is an integer number (25699806).

Almost surely, 2^2289738240 is an apocalyptic number.

2289738240 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 2289738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4111968960).

2289738240 is an abundant number, since it is smaller than the sum of its proper divisors (5934199680).

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

2289738240 is a wasteful number, since it uses less digits than its factorization.

2289738240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2289738240 is about 47851.2093891053. The cubic root of 2289738240 is about 1318.0400665415.

The spelling of 2289738240 in words is "two billion, two hundred eighty-nine million, seven hundred thirty-eight thousand, two hundred forty".