2241010240 has 112 divisors (see below), whose sum is σ = 6113020032. Its totient is φ = 766550016.

The previous prime is 2241010223. The next prime is 2241010249. The reversal of 2241010240 is 420101422.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2241010249) by changing a digit.

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, 1260232 + ... + 1262008.

It is an arithmetic number, because the mean of its divisors is an integer number (54580536).

Almost surely, 2^2241010240 is an apocalyptic number.

2241010240 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 2241010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3056510016).

2241010240 is an abundant number, since it is smaller than the sum of its proper divisors (3872009792).

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

2241010240 is a wasteful number, since it uses less digits than its factorization.

2241010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364 (or 2354 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2241010240 is about 47339.3096696604. The cubic root of 2241010240 is about 1308.6231946330.

Adding to 2241010240 its reverse (420101422), we get a palindrome (2661111662).

The spelling of 2241010240 in words is "two billion, two hundred forty-one million, ten thousand, two hundred forty".