2240312000 has 112 divisors (see below), whose sum is σ = 5607271488. Its totient is φ = 886579200.

The previous prime is 2240311993. The next prime is 2240312023. The reversal of 2240312000 is 2130422.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 774557 + ... + 777443.

It is an arithmetic number, because the mean of its divisors is an integer number (50064924).

Almost surely, 2^2240312000 is an apocalyptic number.

2240312000 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 2240312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2803635744).

2240312000 is an abundant number, since it is smaller than the sum of its proper divisors (3366959488).

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

2240312000 is an equidigital number, since it uses as much as digits as its factorization.

2240312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3011 (or 2991 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2240312000 is about 47331.9342516234. The cubic root of 2240312000 is about 1308.4872696295.

Adding to 2240312000 its reverse (2130422), we get a palindrome (2242442422).

The spelling of 2240312000 in words is "two billion, two hundred forty million, three hundred twelve thousand".