2042400220 has 24 divisors (see below), whose sum is σ = 4901760864. Its totient is φ = 700251456.

The previous prime is 2042400211. The next prime is 2042400221. The reversal of 2042400220 is 220042402.

It is a junction number, because it is equal to n+sod(n) for n = 2042400194 and 2042400203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042400221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7294147 + ... + 7294426.

It is an arithmetic number, because the mean of its divisors is an integer number (204240036).

Almost surely, 2^2042400220 is an apocalyptic number.

2042400220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042400220 is an abundant number, since it is smaller than the sum of its proper divisors (2859360644).

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

2042400220 is a wasteful number, since it uses less digits than its factorization.

2042400220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14588589 (or 14588587 counting only the distinct ones).

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

The square root of 2042400220 is about 45192.9222334648. The cubic root of 2042400220 is about 1268.7623505960.

Adding to 2042400220 its reverse (220042402), we get a palindrome (2262442622).

The spelling of 2042400220 in words is "two billion, forty-two million, four hundred thousand, two hundred twenty".