21934007280 has 320 divisors, whose sum is σ = 77523609600. Its totient is φ = 5698344960.

The previous prime is 21934007261. The next prime is 21934007297. The reversal of 21934007280 is 8270043912.

21934007280 is a `hidden beast` number, since 21 + 93 + 400 + 72 + 80 = 666.

It is a super-2 number, since 2×21934007280² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13648237 + ... + 13649843.

It is an arithmetic number, because the mean of its divisors is an integer number (242261280).

Almost surely, 2^21934007280 is an apocalyptic number.

21934007280 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 21934007280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38761804800).

21934007280 is an abundant number, since it is smaller than the sum of its proper divisors (55589602320).

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

21934007280 is a wasteful number, since it uses less digits than its factorization.

21934007280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 21934007280 in words is "twenty-one billion, nine hundred thirty-four million, seven thousand, two hundred eighty".