2240041440 has 192 divisors, whose sum is σ = 8684637696. Its totient is φ = 472614912.

The previous prime is 2240041411. The next prime is 2240041471. The reversal of 2240041440 is 441400422.

It is a Harshad number since it is a multiple of its sum of digits (21).

2240041440 is a modest number, since divided by 41440 gives 2240 as remainder.

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 31 ways as a sum of consecutive naturals, for example, 18039 + ... + 69321.

It is an arithmetic number, because the mean of its divisors is an integer number (45232488).

Almost surely, 2^2240041440 is an apocalyptic number.

2240041440 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 2240041440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4342318848).

2240041440 is an abundant number, since it is smaller than the sum of its proper divisors (6444596256).

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

2240041440 is a wasteful number, since it uses less digits than its factorization.

2240041440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51321 (or 51313 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 2240041440 is about 47329.0760526761. The cubic root of 2240041440 is about 1308.4345926559.

Adding to 2240041440 its reverse (441400422), we get a palindrome (2681441862).

The spelling of 2240041440 in words is "two billion, two hundred forty million, forty-one thousand, four hundred forty".