2420100010242 has 12 divisors (see below), whose sum is σ = 5243550022230. Its totient is φ = 806700003408.

The previous prime is 2420100010063. The next prime is 2420100010243.

2420100010242 is a `hidden beast` number, since 2 + 420 + 1 + 0 + 0 + 0 + 1 + 0 + 242 = 666.

2420100010242 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 1572538572081 + 847561438161 = 1254009^2 + 920631^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 134450000569 = 2420100010242 / (2 + 4 + 2 + 0 + 1 + 0 + 0 + 0 + 1 + 0 + 2 + 4 + 2).

It is not an unprimeable number, because it can be changed into a prime (2420100010243) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 67225000267 + ... + 67225000302.

Almost surely, 2^{2420100010242} is an apocalyptic number.

2420100010242 is an abundant number, since it is smaller than the sum of its proper divisors (2823450011988).

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

2420100010242 is a wasteful number, since it uses less digits than its factorization.

2420100010242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134450000577 (or 134450000574 counting only the distinct ones).

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

It can be divided in two parts, 24201000 and 10242, that added together give a palindrome (24211242).

The spelling of 2420100010242 in words is "two trillion, four hundred twenty billion, one hundred million, ten thousand, two hundred forty-two".