2288005920 has 384 divisors, whose sum is σ = 8342611200. Its totient is φ = 585252864.

The previous prime is 2288005903. The next prime is 2288005921. The reversal of 2288005920 is 295008822.

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

It is not an unprimeable number, because it can be changed into a prime (2288005921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20247784 + ... + 20247896.

It is an arithmetic number, because the mean of its divisors is an integer number (21725550).

Almost surely, 2^2288005920 is an apocalyptic number.

2288005920 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 2288005920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4171305600).

2288005920 is an abundant number, since it is smaller than the sum of its proper divisors (6054605280).

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

2288005920 is a wasteful number, since it uses less digits than its factorization.

2288005920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2288005920 is about 47833.1048542743. The cubic root of 2288005920 is about 1317.7075913880.

The spelling of 2288005920 in words is "two billion, two hundred eighty-eight million, five thousand, nine hundred twenty".