2382289920 has 352 divisors, whose sum is σ = 8921644800. Its totient is φ = 601178112.

The previous prime is 2382289919. The next prime is 2382289933. The reversal of 2382289920 is 299822832.

2382289920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 2626107 + ... + 2627013.

Almost surely, 2^2382289920 is an apocalyptic number.

2382289920 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 2382289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4460822400).

2382289920 is an abundant number, since it is smaller than the sum of its proper divisors (6539354880).

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

2382289920 is a wasteful number, since it uses less digits than its factorization.

2382289920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2382289920 is about 48808.7074198856. The cubic root of 2382289920 is about 1335.5645131836.

The spelling of 2382289920 in words is "two billion, three hundred eighty-two million, two hundred eighty-nine thousand, nine hundred twenty".