2240434080 has 240 divisors, whose sum is σ = 8372798280. Its totient is φ = 562249728.

The previous prime is 2240434067. The next prime is 2240434111. The reversal of 2240434080 is 804340422.

It is a happy number.

2240434080 is a `hidden beast` number, since 2 + 240 + 4 + 340 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2234263824 + 6170256 = 47268^2 + 2484^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

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 39 ways as a sum of consecutive naturals, for example, 215236 + ... + 225404.

Almost surely, 2^2240434080 is an apocalyptic number.

2240434080 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 2240434080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4186399140).

2240434080 is an abundant number, since it is smaller than the sum of its proper divisors (6132364200).

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

2240434080 is a wasteful number, since it uses less digits than its factorization.

2240434080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10213 (or 10196 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 2240434080 is about 47333.2238496386. The cubic root of 2240434080 is about 1308.5110367394.

The spelling of 2240434080 in words is "two billion, two hundred forty million, four hundred thirty-four thousand, eighty".