20510730240 has 1536 divisors, whose sum is σ = 95103590400. Its totient is φ = 3633315840.

The previous prime is 20510730221. The next prime is 20510730241. The reversal of 20510730240 is 4203701502.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20510730240.

It is not an unprimeable number, because it can be changed into a prime (20510730241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 707266546 + ... + 707266574.

It is an arithmetic number, because the mean of its divisors is an integer number (61916400).

Almost surely, 2^20510730240 is an apocalyptic number.

20510730240 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 20510730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47551795200).

20510730240 is an abundant number, since it is smaller than the sum of its proper divisors (74592860160).

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

20510730240 is a wasteful number, since it uses less digits than its factorization.

20510730240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The spelling of 20510730240 in words is "twenty billion, five hundred ten million, seven hundred thirty thousand, two hundred forty".