21738762240 has 416 divisors, whose sum is σ = 79361747136. Its totient is φ = 5033164800.

The previous prime is 21738762209. The next prime is 21738762299. The reversal of 21738762240 is 4226783712.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (416).

It is a junction number, because it is equal to n+sod(n) for n = 21738762192 and 21738762201.

It is a congruent number.

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, 13577440 + ... + 13579040.

Almost surely, 2^21738762240 is an apocalyptic number.

21738762240 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 21738762240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39680873568).

21738762240 is an abundant number, since it is smaller than the sum of its proper divisors (57622984896).

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

21738762240 is a wasteful number, since it uses less digits than its factorization.

21738762240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 21738762240 in words is "twenty-one billion, seven hundred thirty-eight million, seven hundred sixty-two thousand, two hundred forty".