2421516151242 has 96 divisors (see below), whose sum is σ = 5410969799040. Its totient is φ = 782073532800.

The previous prime is 2421516151217. The next prime is 2421516151247.

2421516151242 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 516 + 15 + 124 + 2 = 666.

2421516151242 is nontrivially palindromic in base 10.

2421516151242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2421516151197 and 2421516151206.

It is not an unprimeable number, because it can be changed into a prime (2421516151247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 384303492 + ... + 384309792.

It is an arithmetic number, because the mean of its divisors is an integer number (56364268740).

Almost surely, 2^{2421516151242} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2421516151242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2705484899520).

2421516151242 is an abundant number, since it is smaller than the sum of its proper divisors (2989453647798).

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

2421516151242 is a wasteful number, since it uses less digits than its factorization.

2421516151242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8668 (or 8665 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The spelling of 2421516151242 in words is "two trillion, four hundred twenty-one billion, five hundred sixteen million, one hundred fifty-one thousand, two hundred forty-two".