2682261020 has 72 divisors (see below), whose sum is σ = 6040890576. Its totient is φ = 1000124416.

The previous prime is 2682260963. The next prime is 2682261031. The reversal of 2682261020 is 201622862.

It is a super-2 number, since 2×2682261020² = 14389048358822880800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 616292 + ... + 620628.

It is an arithmetic number, because the mean of its divisors is an integer number (83901258).

Almost surely, 2^2682261020 is an apocalyptic number.

2682261020 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 2682261020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3020445288).

2682261020 is an abundant number, since it is smaller than the sum of its proper divisors (3358629556).

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

2682261020 is a wasteful number, since it uses less digits than its factorization.

2682261020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4487 (or 4468 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 2682261020 is about 51790.5495240203. The cubic root of 2682261020 is about 1389.4204267326.

Adding to 2682261020 its reverse (201622862), we get a palindrome (2883883882).

The spelling of 2682261020 in words is "two billion, six hundred eighty-two million, two hundred sixty-one thousand, twenty".