21880419840 has 480 divisors, whose sum is σ = 83247484320. Its totient is φ = 5488902144.

The previous prime is 21880419833. The next prime is 21880419851. The reversal of 21880419840 is 4891408812.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10574326 + ... + 10576394.

It is an arithmetic number, because the mean of its divisors is an integer number (173432259).

Almost surely, 2^21880419840 is an apocalyptic number.

21880419840 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 21880419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41623742160).

21880419840 is an abundant number, since it is smaller than the sum of its proper divisors (61367064480).

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

21880419840 is an equidigital number, since it uses as much as digits as its factorization.

21880419840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2124 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 21880419840 in words is "twenty-one billion, eight hundred eighty million, four hundred nineteen thousand, eight hundred forty".