21241534340 has 192 divisors, whose sum is σ = 52124083200. Its totient is φ = 7201259520.

The previous prime is 21241534339. The next prime is 21241534343. The reversal of 21241534340 is 4343514212.

It is a super-2 number, since 2×21241534340² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21241534343) 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, 35461361 + ... + 35461959.

It is an arithmetic number, because the mean of its divisors is an integer number (271479600).

Almost surely, 2^21241534340 is an apocalyptic number.

21241534340 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 21241534340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26062041600).

21241534340 is an abundant number, since it is smaller than the sum of its proper divisors (30882548860).

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

21241534340 is a wasteful number, since it uses less digits than its factorization.

21241534340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The spelling of 21241534340 in words is "twenty-one billion, two hundred forty-one million, five hundred thirty-four thousand, three hundred forty".