2000242420002 has 72 divisors (see below), whose sum is σ = 4493579162436. Its totient is φ = 642985426944.

The previous prime is 2000242419913. The next prime is 2000242420027.

2000242420002 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 242 + 420 + 0 + 0 + 2 = 666.

2000242420002 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 6 ways, for example, as 636483244401 + 1363759175601 = 797799^2 + 1167801^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2425378 + ... + 3143714.

Almost surely, 2^{2000242420002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000242420002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2246789581218).

2000242420002 is an abundant number, since it is smaller than the sum of its proper divisors (2493336742434).

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

2000242420002 is a wasteful number, since it uses less digits than its factorization.

2000242420002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718532 (or 718492 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The spelling of 2000242420002 in words is "two trillion, two hundred forty-two million, four hundred twenty thousand, two".