21802880 has 128 divisors (see below), whose sum is σ = 60220800. Its totient is φ = 7464960.

The previous prime is 21802871. The next prime is 21802883. The reversal of 21802880 is 8820812.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21802883) 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 15 ways as a sum of consecutive naturals, for example, 133679 + ... + 133841.

It is an arithmetic number, because the mean of its divisors is an integer number (470475).

Almost surely, 2^21802880 is an apocalyptic number.

21802880 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 21802880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30110400).

21802880 is an abundant number, since it is smaller than the sum of its proper divisors (38417920).

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

21802880 is a wasteful number, since it uses less digits than its factorization.

21802880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 29.

The square root of 21802880 is about 4669.3554159006. The cubic root of 21802880 is about 279.3645453333.

The spelling of 21802880 in words is "twenty-one million, eight hundred two thousand, eight hundred eighty".