2285936640 has 560 divisors, whose sum is σ = 8991907848. Its totient is φ = 552075264.

The previous prime is 2285936633. The next prime is 2285936641. The reversal of 2285936640 is 466395822.

2285936640 is a `hidden beast` number, since 2 + 285 + 9 + 366 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1672482816 + 613453824 = 40896^2 + 24768^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2285936641) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 43130854 + ... + 43130906.

Almost surely, 2^2285936640 is an apocalyptic number.

2285936640 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 2285936640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4495953924).

2285936640 is an abundant number, since it is smaller than the sum of its proper divisors (6705971208).

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

2285936640 is an equidigital number, since it uses as much as digits as its factorization.

2285936640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 2285936640 is about 47811.4697536062. The cubic root of 2285936640 is about 1317.3102252262.

The spelling of 2285936640 in words is "two billion, two hundred eighty-five million, nine hundred thirty-six thousand, six hundred forty".