21880266240 has 640 divisors, whose sum is σ = 86988718080. Its totient is φ = 4578508800.

The previous prime is 21880266217. The next prime is 21880266241. The reversal of 21880266240 is 4266208812.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21880266241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31664295 + ... + 31664985.

It is an arithmetic number, because the mean of its divisors is an integer number (135919872).

Almost surely, 2^21880266240 is an apocalyptic number.

21880266240 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 21880266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43494359040).

21880266240 is an abundant number, since it is smaller than the sum of its proper divisors (65108451840).

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

21880266240 is a wasteful number, since it uses less digits than its factorization.

21880266240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 21880266240 in words is "twenty-one billion, eight hundred eighty million, two hundred sixty-six thousand, two hundred forty".