21002614080 has 448 divisors, whose sum is σ = 80619356160. Its totient is φ = 4530585600.

The previous prime is 21002614057. The next prime is 21002614099. The reversal of 21002614080 is 8041620012.

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

It is a super-2 number, since 2×21002614080² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 21002614080.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8539891 + ... + 8542349.

It is an arithmetic number, because the mean of its divisors is an integer number (179953920).

Almost surely, 2^21002614080 is an apocalyptic number.

21002614080 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 21002614080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40309678080).

21002614080 is an abundant number, since it is smaller than the sum of its proper divisors (59616742080).

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

21002614080 is a wasteful number, since it uses less digits than its factorization.

21002614080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2558 (or 2548 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The spelling of 21002614080 in words is "twenty-one billion, two million, six hundred fourteen thousand, eighty".