2042420424 has 128 divisors (see below), whose sum is σ = 5970170880. Its totient is φ = 575942400.

The previous prime is 2042420423. The next prime is 2042420431. The reversal of 2042420424 is 4240242402.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2042420394 and 2042420403.

It is not an unprimeable number, because it can be changed into a prime (2042420423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220119 + ... + 229209.

It is an arithmetic number, because the mean of its divisors is an integer number (46641960).

Almost surely, 2^2042420424 is an apocalyptic number.

2042420424 is a gapful number since it is divisible by the number (24) 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 2042420424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2985085440).

2042420424 is an abundant number, since it is smaller than the sum of its proper divisors (3927750456).

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

2042420424 is a wasteful number, since it uses less digits than its factorization.

2042420424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9171 (or 9167 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 2042420424 is about 45193.1457634894. The cubic root of 2042420424 is about 1268.7665342341.

Adding to 2042420424 its reverse (4240242402), we get a palindrome (6282662826).

The spelling of 2042420424 in words is "two billion, forty-two million, four hundred twenty thousand, four hundred twenty-four".