2146002310242 has 160 divisors (see below), whose sum is σ = 5641995744000. Its totient is φ = 596873940480.

The previous prime is 2146002310237. The next prime is 2146002310261. The reversal of 2146002310242 is 2420132006412.

2146002310242 is a `hidden beast` number, since 2 + 1 + 4 + 600 + 2 + 3 + 10 + 2 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21197259 + ... + 21298257.

It is an arithmetic number, because the mean of its divisors is an integer number (35262473400).

Almost surely, 2^{2146002310242} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2146002310242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2820997872000).

2146002310242 is an abundant number, since it is smaller than the sum of its proper divisors (3495993433758).

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

2146002310242 is a wasteful number, since it uses less digits than its factorization.

2146002310242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101518 (or 101509 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2146002310242 its reverse (2420132006412), we get a palindrome (4566134316654).

The spelling of 2146002310242 in words is "two trillion, one hundred forty-six billion, two million, three hundred ten thousand, two hundred forty-two".