2642444442462 has 192 divisors, whose sum is σ = 6091650593280. Its totient is φ = 762595680000.

The previous prime is 2642444442439. The next prime is 2642444442479.

2642444442462 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 601784287 + ... + 601788677.

It is an arithmetic number, because the mean of its divisors is an integer number (31727346840).

Almost surely, 2^{2642444442462} is an apocalyptic number.

2642444442462 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2642444442462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3045825296640).

2642444442462 is an abundant number, since it is smaller than the sum of its proper divisors (3449206150818).

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

2642444442462 is a wasteful number, since it uses less digits than its factorization.

2642444442462 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4831 (or 4820 counting only the distinct ones).

The product of its digits is 9437184, while the sum is 48.

The spelling of 2642444442462 in words is "two trillion, six hundred forty-two billion, four hundred forty-four million, four hundred forty-two thousand, four hundred sixty-two".