20301834240 has 576 divisors, whose sum is σ = 74205331200. Its totient is φ = 5127929856.

The previous prime is 20301834181. The next prime is 20301834253. The reversal of 20301834240 is 4243810302.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186255306 + ... + 186255414.

It is an arithmetic number, because the mean of its divisors is an integer number (128828700).

Almost surely, 2^20301834240 is an apocalyptic number.

20301834240 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 20301834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37102665600).

20301834240 is an abundant number, since it is smaller than the sum of its proper divisors (53903496960).

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

20301834240 is a wasteful number, since it uses less digits than its factorization.

20301834240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 20301834240 in words is "twenty billion, three hundred one million, eight hundred thirty-four thousand, two hundred forty".