2642362632462 has 128 divisors (see below), whose sum is σ = 6426547568640. Its totient is φ = 707478710400.

The previous prime is 2642362632449. The next prime is 2642362632467.

2642362632462 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2642362632467) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88884733 + ... + 88914455.

It is an arithmetic number, because the mean of its divisors is an integer number (50207402880).

Almost surely, 2^{2642362632462} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2642362632462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3213273784320).

2642362632462 is an abundant number, since it is smaller than the sum of its proper divisors (3784184936178).

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

2642362632462 is a wasteful number, since it uses less digits than its factorization.

2642362632462 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30958.

The product of its digits is 5971968, while the sum is 48.

The spelling of 2642362632462 in words is "two trillion, six hundred forty-two billion, three hundred sixty-two million, six hundred thirty-two thousand, four hundred sixty-two".