2242000240 has 40 divisors (see below), whose sum is σ = 5214697488. Its totient is φ = 896448000.

The previous prime is 2242000213. The next prime is 2242000261. The reversal of 2242000240 is 420002422.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 316740 + ... + 323740.

Almost surely, 2^2242000240 is an apocalyptic number.

2242000240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242000240 is an abundant number, since it is smaller than the sum of its proper divisors (2972697248).

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

2242000240 is a wasteful number, since it uses less digits than its factorization.

2242000240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11017 (or 11011 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 2242000240 is about 47349.7649413384. The cubic root of 2242000240 is about 1308.8158675940.

Adding to 2242000240 its reverse (420002422), we get a palindrome (2662002662).

It can be divided in two parts, 2 and 242000240, that added together give a palindrome (242000242).

The spelling of 2242000240 in words is "two billion, two hundred forty-two million, two hundred forty", and thus it is an aban number.