20705240310240 has 48 divisors (see below), whose sum is σ = 65221506978768. Its totient is φ = 5521397415936.

The previous prime is 20705240310221. The next prime is 20705240310253. The reversal of 20705240310240 is 4201304250702.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×20705240310240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20705240310198 and 20705240310207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21567958177 + ... + 21567959136.

It is an arithmetic number, because the mean of its divisors is an integer number (1358781395391).

Almost surely, 2^{20705240310240} is an apocalyptic number.

20705240310240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20705240310240 is an abundant number, since it is smaller than the sum of its proper divisors (44516266668528).

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

20705240310240 is a wasteful number, since it uses less digits than its factorization.

20705240310240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43135917331 (or 43135917323 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

Adding to 20705240310240 its reverse (4201304250702), we get a palindrome (24906544560942).

The spelling of 20705240310240 in words is "twenty trillion, seven hundred five billion, two hundred forty million, three hundred ten thousand, two hundred forty".