21642242304 has 72 divisors (see below), whose sum is σ = 57622894560. Its totient is φ = 7211204608.

The previous prime is 21642242291. The next prime is 21642242317. The reversal of 21642242304 is 40324224612.

It is an interprime number because it is at equal distance from previous prime (21642242291) and next prime (21642242317).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2898544 + ... + 2906000.

It is an arithmetic number, because the mean of its divisors is an integer number (800317980).

Almost surely, 2^21642242304 is an apocalyptic number.

21642242304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21642242304 is an abundant number, since it is smaller than the sum of its proper divisors (35980652256).

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

21642242304 is an equidigital number, since it uses as much as digits as its factorization.

21642242304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11255 (or 11241 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 21642242304 its reverse (40324224612), we get a palindrome (61966466916).

The spelling of 21642242304 in words is "twenty-one billion, six hundred forty-two million, two hundred forty-two thousand, three hundred four".