21842706240 has 672 divisors, whose sum is σ = 82928764800. Its totient is φ = 5477041152.

The previous prime is 21842706239. The next prime is 21842706269. The reversal of 21842706240 is 4260724812.

21842706240 is a `hidden beast` number, since 2 + 1 + 8 + 4 + 27 + 0 + 624 + 0 = 666.

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 = 21842706195 and 21842706204.

It is a congruent number.

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, 370215331 + ... + 370215389.

It is an arithmetic number, because the mean of its divisors is an integer number (123405900).

Almost surely, 2^21842706240 is an apocalyptic number.

21842706240 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 21842706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41464382400).

21842706240 is an abundant number, since it is smaller than the sum of its proper divisors (61086058560).

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

21842706240 is an frugal number, since it uses more digits than its factorization.

21842706240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 21842706240 in words is "twenty-one billion, eight hundred forty-two million, seven hundred six thousand, two hundred forty".