2286779040 has 720 divisors, whose sum is σ = 10146700872. Its totient is φ = 480743424.

The previous prime is 2286779039. The next prime is 2286779081. The reversal of 2286779040 is 409776822.

It can be written as a sum of positive squares in 4 ways, for example, as 1024256016 + 1262523024 = 32004^2 + 35532^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8255382 + ... + 8255658.

Almost surely, 2^2286779040 is an apocalyptic number.

2286779040 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 2286779040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5073350436).

2286779040 is an abundant number, since it is smaller than the sum of its proper divisors (7859921832).

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

2286779040 is a wasteful number, since it uses less digits than its factorization.

2286779040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 2286779040 is about 47820.2785437308. The cubic root of 2286779040 is about 1317.4720211729.

The spelling of 2286779040 in words is "two billion, two hundred eighty-six million, seven hundred seventy-nine thousand, forty".