2240420240 has 40 divisors (see below), whose sum is σ = 5307269688. Its totient is φ = 879257600.

The previous prime is 2240420233. The next prime is 2240420243. The reversal of 2240420240 is 420240422.

It can be written as a sum of positive squares in 4 ways, for example, as 1017099664 + 1223320576 = 31892^2 + 34976^2 .

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 (20).

It is not an unprimeable number, because it can be changed into a prime (2240420243) 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 7 ways as a sum of consecutive naturals, for example, 259961 + ... + 268440.

Almost surely, 2^2240420240 is an apocalyptic number.

2240420240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2240420240 is an abundant number, since it is smaller than the sum of its proper divisors (3066849448).

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

2240420240 is a wasteful number, since it uses less digits than its factorization.

2240420240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528467 (or 528461 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 2240420240 is about 47333.0776518916. The cubic root of 2240420240 is about 1308.5083423464.

Adding to 2240420240 its reverse (420240422), we get a palindrome (2660660662).

The spelling of 2240420240 in words is "two billion, two hundred forty million, four hundred twenty thousand, two hundred forty".