262042202020 has 96 divisors (see below), whose sum is σ = 570867302880. Its totient is φ = 100969021440.

The previous prime is 262042201987. The next prime is 262042202063. The reversal of 262042202020 is 20202240262.

It can be written as a sum of positive squares in 16 ways, for example, as 256204019556 + 5838182464 = 506166^2 + 76408^2 .

It is a super-2 number, since 2×262042202020² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 262042201982 and 262042202000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24920284 + ... + 24930796.

It is an arithmetic number, because the mean of its divisors is an integer number (5946534405).

Almost surely, 2^262042202020 is an apocalyptic number.

262042202020 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 262042202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285433651440).

262042202020 is an abundant number, since it is smaller than the sum of its proper divisors (308825100860).

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

262042202020 is a wasteful number, since it uses less digits than its factorization.

262042202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10945 (or 10943 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 262042202020 its reverse (20202240262), we get a palindrome (282244442282).

The spelling of 262042202020 in words is "two hundred sixty-two billion, forty-two million, two hundred two thousand, twenty".