2283739920 has 800 divisors, whose sum is σ = 10370764800. Its totient is φ = 451630080.

The previous prime is 2283739919. The next prime is 2283740009. The reversal of 2283739920 is 299373822.

2283739920 is a `hidden beast` number, since 228 + 37 + 399 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11475981 + ... + 11476179.

It is an arithmetic number, because the mean of its divisors is an integer number (12963456).

Almost surely, 2^2283739920 is an apocalyptic number.

2283739920 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 2283739920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5185382400).

2283739920 is an abundant number, since it is smaller than the sum of its proper divisors (8087024880).

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

2283739920 is a wasteful number, since it uses less digits than its factorization.

2283739920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 2283739920 is about 47788.4915016157. The cubic root of 2283739920 is about 1316.8881241199. Note that the first 3 decimals are identical.

The spelling of 2283739920 in words is "two billion, two hundred eighty-three million, seven hundred thirty-nine thousand, nine hundred twenty".