21946626240 has 448 divisors, whose sum is σ = 87231126528. Its totient is φ = 4541644800.

The previous prime is 21946626193. The next prime is 21946626253. The reversal of 21946626240 is 4262664912.

It is a tau number, because it is divible by the number of its divisors (448).

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 = 21946626192 and 21946626201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24910600 + ... + 24911480.

It is an arithmetic number, because the mean of its divisors is an integer number (194712336).

Almost surely, 2^21946626240 is an apocalyptic number.

21946626240 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 21946626240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43615563264).

21946626240 is an abundant number, since it is smaller than the sum of its proper divisors (65284500288).

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

21946626240 is a wasteful number, since it uses less digits than its factorization.

21946626240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 21946626240 in words is "twenty-one billion, nine hundred forty-six million, six hundred twenty-six thousand, two hundred forty".