2042103420 has 288 divisors, whose sum is σ = 7501455360. Its totient is φ = 459768960.

The previous prime is 2042103377. The next prime is 2042103449. The reversal of 2042103420 is 243012402.

2042103420 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2042103393 and 2042103402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1878117 + ... + 1879203.

It is an arithmetic number, because the mean of its divisors is an integer number (26046720).

Almost surely, 2^2042103420 is an apocalyptic number.

2042103420 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 2042103420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3750727680).

2042103420 is an abundant number, since it is smaller than the sum of its proper divisors (5459351940).

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

2042103420 is a wasteful number, since it uses less digits than its factorization.

2042103420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2042103420 is about 45189.6384141321. The cubic root of 2042103420 is about 1268.7008891018.

Adding to 2042103420 its reverse (243012402), we get a palindrome (2285115822).

The spelling of 2042103420 in words is "two billion, forty-two million, one hundred three thousand, four hundred twenty".