2600206820 has 48 divisors (see below), whose sum is σ = 5617645488. Its totient is φ = 1010234880.

The previous prime is 2600206813. The next prime is 2600206841. The reversal of 2600206820 is 286020062.

It can be written as a sum of positive squares in 8 ways, for example, as 14077504 + 2586129316 = 3752^2 + 50854^2 .

It is a super-2 number, since 2×2600206820² = 13522151013549024800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2600206820.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 480530 + ... + 485910.

It is an arithmetic number, because the mean of its divisors is an integer number (117034281).

Almost surely, 2^2600206820 is an apocalyptic number.

2600206820 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 2600206820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2808822744).

2600206820 is an abundant number, since it is smaller than the sum of its proper divisors (3017438668).

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

2600206820 is a wasteful number, since it uses less digits than its factorization.

2600206820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6080 (or 6078 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 2600206820 is about 50992.2231325523. The cubic root of 2600206820 is about 1375.1053265873.

Adding to 2600206820 its reverse (286020062), we get a palindrome (2886226882).

The spelling of 2600206820 in words is "two billion, six hundred million, two hundred six thousand, eight hundred twenty".