2642262024020 has 96 divisors (see below), whose sum is σ = 5696230901760. Its totient is φ = 1028926402560.

The previous prime is 2642262024001. The next prime is 2642262024091. The reversal of 2642262024020 is 204202622462.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1197217757 + ... + 1197219963.

It is an arithmetic number, because the mean of its divisors is an integer number (59335738560).

Almost surely, 2^{2642262024020} is an apocalyptic number.

2642262024020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2642262024020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2848115450880).

2642262024020 is an abundant number, since it is smaller than the sum of its proper divisors (3053968877740).

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

2642262024020 is a wasteful number, since it uses less digits than its factorization.

2642262024020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4713 (or 4711 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 2642262024020 its reverse (204202622462), we get a palindrome (2846464646482).

The spelling of 2642262024020 in words is "two trillion, six hundred forty-two billion, two hundred sixty-two million, twenty-four thousand, twenty".