24220064808240 has 320 divisors, whose sum is σ = 88990799938560. Its totient is φ = 5331649720320.

The previous prime is 24220064808167. The next prime is 24220064808371. The reversal of 24220064808240 is 4280846002242.

It is a super-2 number, since 2×24220064808240² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 24220064808192 and 24220064808201.

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 63 ways as a sum of consecutive naturals, for example, 18715735 + ... + 19967945.

It is an arithmetic number, because the mean of its divisors is an integer number (278096249808).

Almost surely, 2^{24220064808240} is an apocalyptic number.

24220064808240 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 24220064808240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44495399969280).

24220064808240 is an abundant number, since it is smaller than the sum of its proper divisors (64770735130320).

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

24220064808240 is a wasteful number, since it uses less digits than its factorization.

24220064808240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252660 (or 1252654 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 42.

The spelling of 24220064808240 in words is "twenty-four trillion, two hundred twenty billion, sixty-four million, eight hundred eight thousand, two hundred forty".