2620805120 has 104 divisors (see below), whose sum is σ = 6378954216. Its totient is φ = 1033371648.

The previous prime is 2620805113. The next prime is 2620805137. The reversal of 2620805120 is 215080262.

It can be written as a sum of positive squares in 4 ways, for example, as 5914624 + 2614890496 = 2432^2 + 51136^2 .

It is a super-3 number, since 3×2620805120³ (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2620805120.

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, 1494164 + ... + 1495916.

Almost surely, 2^2620805120 is an apocalyptic number.

2620805120 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 2620805120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3189477108).

2620805120 is an abundant number, since it is smaller than the sum of its proper divisors (3758149096).

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

2620805120 is an equidigital number, since it uses as much as digits as its factorization.

2620805120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1855 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 2620805120 is about 51193.7996245639. The cubic root of 2620805120 is about 1378.7268801740.

Adding to 2620805120 its reverse (215080262), we get a palindrome (2835885382).

The spelling of 2620805120 in words is "two billion, six hundred twenty million, eight hundred five thousand, one hundred twenty".