240054434820 has 144 divisors (see below), whose sum is σ = 760115446272. Its totient is φ = 61207829760.

The previous prime is 240054434791. The next prime is 240054434833. The reversal of 240054434820 is 28434450042.

240054434820 is a `hidden beast` number, since 2 + 4 + 0 + 0 + 544 + 34 + 82 + 0 = 666.

It is a super-2 number, since 2×240054434820² (a number of 24 digits) contains 22 as substring.

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

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, 12505630 + ... + 12524810.

It is an arithmetic number, because the mean of its divisors is an integer number (5278579488).

Almost surely, 2^240054434820 is an apocalyptic number.

240054434820 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 240054434820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380057723136).

240054434820 is an abundant number, since it is smaller than the sum of its proper divisors (520061011452).

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

240054434820 is a wasteful number, since it uses less digits than its factorization.

240054434820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22242 (or 22237 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 240054434820 its reverse (28434450042), we get a palindrome (268488884862).

The spelling of 240054434820 in words is "two hundred forty billion, fifty-four million, four hundred thirty-four thousand, eight hundred twenty".