21624242000 has 160 divisors (see below), whose sum is σ = 55292889600. Its totient is φ = 8156736000.

The previous prime is 21624241997. The next prime is 21624242011. The reversal of 21624242000 is 24242612.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9080810 + ... + 9083190.

It is an arithmetic number, because the mean of its divisors is an integer number (345580560).

Almost surely, 2^21624242000 is an apocalyptic number.

21624242000 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 21624242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27646444800).

21624242000 is an abundant number, since it is smaller than the sum of its proper divisors (33668647600).

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

21624242000 is a wasteful number, since it uses less digits than its factorization.

21624242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2662 (or 2646 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 21624242000 its reverse (24242612), we get a palindrome (21648484612).

The spelling of 21624242000 in words is "twenty-one billion, six hundred twenty-four million, two hundred forty-two thousand".