2365089920 has 128 divisors (see below), whose sum is σ = 5836607280. Its totient is φ = 915865600.

The previous prime is 2365089911. The next prime is 2365089941. The reversal of 2365089920 is 299805632.

It can be written as a sum of positive squares in 8 ways, for example, as 672261184 + 1692828736 = 25928^2 + 41144^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4539260 + ... + 4539780.

Almost surely, 2^2365089920 is an apocalyptic number.

2365089920 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 2365089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2918303640).

2365089920 is an abundant number, since it is smaller than the sum of its proper divisors (3471517360).

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

2365089920 is a wasteful number, since it uses less digits than its factorization.

2365089920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 44.

The square root of 2365089920 is about 48632.1901624839. The cubic root of 2365089920 is about 1332.3425127772.

The spelling of 2365089920 in words is "two billion, three hundred sixty-five million, eighty-nine thousand, nine hundred twenty".