21742015460 has 96 divisors (see below), whose sum is σ = 53242769664. Its totient is φ = 7377920000.

The previous prime is 21742015417. The next prime is 21742015543. The reversal of 21742015460 is 6451024712.

It is a super-3 number, since 3×21742015460³ (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155060 + ... + 259860.

It is an arithmetic number, because the mean of its divisors is an integer number (554612184).

Almost surely, 2^21742015460 is an apocalyptic number.

21742015460 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 21742015460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26621384832).

21742015460 is an abundant number, since it is smaller than the sum of its proper divisors (31500754204).

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

21742015460 is a wasteful number, since it uses less digits than its factorization.

21742015460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104885 (or 104883 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The spelling of 21742015460 in words is "twenty-one billion, seven hundred forty-two million, fifteen thousand, four hundred sixty".