2241383040 has 384 divisors, whose sum is σ = 8570998800. Its totient is φ = 536150016.

The previous prime is 2241383033. The next prime is 2241383057. The reversal of 2241383040 is 403831422.

2241383040 is a `hidden beast` number, since 2 + 241 + 383 + 0 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1509788736 + 731594304 = 38856^2 + 27048^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 2241382995 and 2241383013.

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 47 ways as a sum of consecutive naturals, for example, 2770156 + ... + 2770964.

Almost surely, 2^2241383040 is an apocalyptic number.

2241383040 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 2241383040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4285499400).

2241383040 is an abundant number, since it is smaller than the sum of its proper divisors (6329615760).

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

2241383040 is a wasteful number, since it uses less digits than its factorization.

2241383040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2241383040 is about 47343.2470369323. The cubic root of 2241383040 is about 1308.6957553125.

The spelling of 2241383040 in words is "two billion, two hundred forty-one million, three hundred eighty-three thousand, forty".