2240384384 has 128 divisors (see below), whose sum is σ = 5337292800. Its totient is φ = 916531200.

The previous prime is 2240384303. The next prime is 2240384407. The reversal of 2240384384 is 4834830422.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 2193794 + ... + 2194814.

It is an arithmetic number, because the mean of its divisors is an integer number (41697600).

Almost surely, 2^2240384384 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 2240384384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668646400).

2240384384 is an abundant number, since it is smaller than the sum of its proper divisors (3096908416).

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

2240384384 is a wasteful number, since it uses less digits than its factorization.

2240384384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 38.

The square root of 2240384384 is about 47332.6988877668. The cubic root of 2240384384 is about 1308.5013617921.

The spelling of 2240384384 in words is "two billion, two hundred forty million, three hundred eighty-four thousand, three hundred eighty-four".