2288407920 has 80 divisors (see below), whose sum is σ = 7150018560. Its totient is φ = 605428992.

The previous prime is 2288407909. The next prime is 2288407921. The reversal of 2288407920 is 297048822.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2288407921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7060 + ... + 68019.

It is an arithmetic number, because the mean of its divisors is an integer number (89375232).

Almost surely, 2^2288407920 is an apocalyptic number.

2288407920 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 2288407920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3575009280).

2288407920 is an abundant number, since it is smaller than the sum of its proper divisors (4861610640).

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

2288407920 is a wasteful number, since it uses less digits than its factorization.

2288407920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75222 (or 75216 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 2288407920 is about 47837.3067803780. The cubic root of 2288407920 is about 1317.7847601031.

The spelling of 2288407920 in words is "two billion, two hundred eighty-eight million, four hundred seven thousand, nine hundred twenty".