2378833920 has 336 divisors, whose sum is σ = 8587313280. Its totient is φ = 631701504.

The previous prime is 2378833883. The next prime is 2378833931. The reversal of 2378833920 is 293388732.

It is a happy number.

2378833920 is a `hidden beast` number, since 237 + 88 + 339 + 2 + 0 = 666.

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 23 ways as a sum of consecutive naturals, for example, 9953161 + ... + 9953399.

It is an arithmetic number, because the mean of its divisors is an integer number (25557480).

Almost surely, 2^2378833920 is an apocalyptic number.

2378833920 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 2378833920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4293656640).

2378833920 is an abundant number, since it is smaller than the sum of its proper divisors (6208479360).

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

2378833920 is an frugal number, since it uses more digits than its factorization.

2378833920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2378833920 is about 48773.2910515581. The cubic root of 2378833920 is about 1334.9183639008.

The spelling of 2378833920 in words is "two billion, three hundred seventy-eight million, eight hundred thirty-three thousand, nine hundred twenty".