21976842240 has 532 divisors, whose sum is σ = 82518579504. Its totient is φ = 5605687296.

The previous prime is 21976842211. The next prime is 21976842247. The reversal of 21976842240 is 4224867912.

21976842240 is a `hidden beast` number, since 219 + 7 + 6 + 8 + 422 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (21976842247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 955514869 + ... + 955514891.

Almost surely, 2^21976842240 is an apocalyptic number.

21976842240 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 21976842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41259289752).

21976842240 is an abundant number, since it is smaller than the sum of its proper divisors (60541737264).

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

21976842240 is an frugal number, since it uses more digits than its factorization.

21976842240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 21976842240 in words is "twenty-one billion, nine hundred seventy-six million, eight hundred forty-two thousand, two hundred forty".