2421120042 has 144 divisors (see below), whose sum is σ = 6293008800. Its totient is φ = 666247680.

The previous prime is 2421120019. The next prime is 2421120077. The reversal of 2421120042 is 2400211242.

2421120042 is a `hidden beast` number, since 2 + 421 + 1 + 200 + 42 = 666.

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 = 2421119997 and 2421120024.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1658709 + ... + 1660167.

It is an arithmetic number, because the mean of its divisors is an integer number (43701450).

Almost surely, 2^2421120042 is an apocalyptic number.

2421120042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2421120042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3146504400).

2421120042 is an abundant number, since it is smaller than the sum of its proper divisors (3871888758).

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

2421120042 is a wasteful number, since it uses less digits than its factorization.

2421120042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2421120042 is about 49204.8782337687. The cubic root of 2421120042 is about 1342.7817836981.

Adding to 2421120042 its reverse (2400211242), we get a palindrome (4821331284).

It can be divided in two parts, 24211200 and 42, that added together give a palindrome (24211242).

The spelling of 2421120042 in words is "two billion, four hundred twenty-one million, one hundred twenty thousand, forty-two".