2679260220 has 288 divisors, whose sum is σ = 10443585600. Its totient is φ = 565221888.

The previous prime is 2679260203. The next prime is 2679260249. The reversal of 2679260220 is 220629762.

2679260220 is a `hidden beast` number, since 26 + 7 + 9 + 2 + 602 + 20 = 666.

2679260220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2679260220³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 340086 + ... + 347874.

It is an arithmetic number, because the mean of its divisors is an integer number (36262450).

Almost surely, 2^2679260220 is an apocalyptic number.

2679260220 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 2679260220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5221792800).

2679260220 is an abundant number, since it is smaller than the sum of its proper divisors (7764325380).

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

2679260220 is a wasteful number, since it uses less digits than its factorization.

2679260220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7834 (or 7819 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2679260220 is about 51761.5708803355. The cubic root of 2679260220 is about 1388.9020918164.

Adding to 2679260220 its reverse (220629762), we get a palindrome (2899889982).

The spelling of 2679260220 in words is "two billion, six hundred seventy-nine million, two hundred sixty thousand, two hundred twenty".