21241610640 has 80 divisors (see below), whose sum is σ = 73165555200. Its totient is φ = 5664428928.

The previous prime is 21241610639. The next prime is 21241610651. The reversal of 21241610640 is 4601614212.

21241610640 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 1 + 6 + 10 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×21241610640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4914880 + ... + 4919199.

It is an arithmetic number, because the mean of its divisors is an integer number (914569440).

Almost surely, 2^21241610640 is an apocalyptic number.

21241610640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21241610640 is an abundant number, since it is smaller than the sum of its proper divisors (51923944560).

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

21241610640 is a wasteful number, since it uses less digits than its factorization.

21241610640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9834101 (or 9834089 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 21241610640 in words is "twenty-one billion, two hundred forty-one million, six hundred ten thousand, six hundred forty".