2240734752 has 240 divisors, whose sum is σ = 7003402560. Its totient is φ = 700835328.

The previous prime is 2240734703. The next prime is 2240734789. The reversal of 2240734752 is 2574370422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 8519773 + ... + 8520035.

It is an arithmetic number, because the mean of its divisors is an integer number (29180844).

Almost surely, 2^2240734752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240734752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3501701280).

2240734752 is an abundant number, since it is smaller than the sum of its proper divisors (4762667808).

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

2240734752 is a wasteful number, since it uses less digits than its factorization.

2240734752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The square root of 2240734752 is about 47336.3998631075. The cubic root of 2240734752 is about 1308.5695693002.

The spelling of 2240734752 in words is "two billion, two hundred forty million, seven hundred thirty-four thousand, seven hundred fifty-two".