2240784000 has 1280 divisors, whose sum is σ = 10781971200. Its totient is φ = 447897600.

The previous prime is 2240783989. The next prime is 2240784001. The reversal of 2240784000 is 4870422.

It is a super-2 number, since 2×2240784000² = 10042225869312000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240784001) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 117935991 + ... + 117936009.

It is an arithmetic number, because the mean of its divisors is an integer number (8423415).

Almost surely, 2^2240784000 is an apocalyptic number.

2240784000 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 2240784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5390985600).

2240784000 is an abundant number, since it is smaller than the sum of its proper divisors (8541187200).

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

2240784000 is a wasteful number, since it uses less digits than its factorization.

2240784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2240784000 is about 47336.9200519003. The cubic root of 2240784000 is about 1308.5791560309.

The spelling of 2240784000 in words is "two billion, two hundred forty million, seven hundred eighty-four thousand".