21838602240 has 1344 divisors, whose sum is σ = 100405509120. Its totient is φ = 4459069440.

The previous prime is 21838602193. The next prime is 21838602251. The reversal of 21838602240 is 4220683812.

21838602240 is a `hidden beast` number, since 2 + 1 + 8 + 3 + 8 + 602 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a junction number, because it is equal to n+sod(n) for n = 21838602195 and 21838602204.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 704471025 + ... + 704471055.

It is an arithmetic number, because the mean of its divisors is an integer number (74706480).

Almost surely, 2^21838602240 is an apocalyptic number.

21838602240 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 21838602240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50202754560).

21838602240 is an abundant number, since it is smaller than the sum of its proper divisors (78566906880).

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

21838602240 is a wasteful number, since it uses less digits than its factorization.

21838602240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 21838602240 in words is "twenty-one billion, eight hundred thirty-eight million, six hundred two thousand, two hundred forty".