2284093440 has 192 divisors, whose sum is σ = 7923181500. Its totient is φ = 608698368.

The previous prime is 2284093439. The next prime is 2284093457. The reversal of 2284093440 is 443904822.

It can be written as a sum of positive squares in 2 ways, for example, as 2230861824 + 53231616 = 47232^2 + 7296^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2284093395 and 2284093404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1473786 + ... + 1475334.

Almost surely, 2^2284093440 is an apocalyptic number.

2284093440 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 2284093440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3961590750).

2284093440 is an abundant number, since it is smaller than the sum of its proper divisors (5639088060).

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

2284093440 is an equidigital number, since it uses as much as digits as its factorization.

2284093440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2284093440 is about 47792.1901569702. The cubic root of 2284093440 is about 1316.9560714761.

The spelling of 2284093440 in words is "two billion, two hundred eighty-four million, ninety-three thousand, four hundred forty".